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68640960 = 2635127563
BaseRepresentation
bin1000001011101…
…10000011000000
311210011022200210
410011312003000
5120033002320
610451114120
71462303263
oct405660300
9153138623
1068640960
1135822a73
121aba2940
13112b406b
14918acda
15605d0e0
hex41760c0

68640960 has 112 divisors (see below), whose sum is σ = 220041216. Its totient is φ = 18127872.

The previous prime is 68640959. The next prime is 68640991. The reversal of 68640960 is 6904686.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121639 + ... + 122201.

Almost surely, 268640960 is an apocalyptic number.

68640960 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 68640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110020608).

68640960 is an abundant number, since it is smaller than the sum of its proper divisors (151400256).

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

68640960 is a wasteful number, since it uses less digits than its factorization.

68640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 68640960 is about 8284.9840072266. The cubic root of 68640960 is about 409.4439418105.

The spelling of 68640960 in words is "sixty-eight million, six hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 563 635 762 960 1016 1126 1270 1524 1689 1905 2032 2252 2540 2815 3048 3378 3810 4064 4504 5080 5630 6096 6756 7620 8128 8445 9008 10160 11260 12192 13512 15240 16890 18016 20320 22520 24384 27024 30480 33780 36032 40640 45040 54048 60960 67560 71501 90080 108096 121920 135120 143002 180160 214503 270240 286004 357505 429006 540480 572008 715010 858012 1072515 1144016 1430020 1716024 2145030 2288032 2860040 3432048 4290060 4576064 5720080 6864096 8580120 11440160 13728192 17160240 22880320 34320480 68640960