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668720880 = 24335734241
BaseRepresentation
bin100111110110111…
…101111011110000
31201121022112121000
4213312331323300
52332143032010
6150205002000
722400014362
oct4766757360
91647275530
10668720880
11313525993
12167b53300
13a870a139
1464b54d32
153da947c0
hex27dbdef0

668720880 has 160 divisors (see below), whose sum is σ = 2335475520. Its totient is φ = 175841280.

The previous prime is 668720879. The next prime is 668720881. The reversal of 668720880 is 88027866.

It is an interprime number because it is at equal distance from previous prime (668720879) and next prime (668720881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668720881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155560 + ... + 159800.

It is an arithmetic number, because the mean of its divisors is an integer number (14596722).

Almost surely, 2668720880 is an apocalyptic number.

668720880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668720880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167737760).

668720880 is an abundant number, since it is smaller than the sum of its proper divisors (1666754640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668720880 is a wasteful number, since it uses less digits than its factorization.

668720880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 668720880 is about 25859.6380485110. The cubic root of 668720880 is about 874.4768050478.

The spelling of 668720880 in words is "six hundred sixty-eight million, seven hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 73 80 90 108 120 135 144 146 180 216 219 240 270 292 360 365 432 438 540 584 657 720 730 876 1080 1095 1168 1314 1460 1752 1971 2160 2190 2628 2920 3285 3504 3942 4241 4380 5256 5840 6570 7884 8482 8760 9855 10512 12723 13140 15768 16964 17520 19710 21205 25446 26280 31536 33928 38169 39420 42410 50892 52560 63615 67856 76338 78840 84820 101784 114507 127230 152676 157680 169640 190845 203568 229014 254460 305352 309593 339280 381690 458028 508920 572535 610704 619186 763380 916056 928779 1017840 1145070 1238372 1526760 1547965 1832112 1857558 2290140 2476744 2786337 3053520 3095930 3715116 4580280 4643895 4953488 5572674 6191860 7430232 8359011 9160560 9287790 11145348 12383720 13931685 14860464 16718022 18575580 22290696 24767440 27863370 33436044 37151160 41795055 44581392 55726740 66872088 74302320 83590110 111453480 133744176 167180220 222906960 334360440 668720880