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66608960 = 26511127149
BaseRepresentation
bin1111111000010…
…1111101000000
311122100002022112
43332011331000
5114022441320
610335354452
71436111135
oct376057500
9148302275
1066608960
1134665330
121a382a28
1310a521b2
148bbc58c
155caaec5
hex3f85f40

66608960 has 112 divisors (see below), whose sum is σ = 175564800. Its totient is φ = 23869440.

The previous prime is 66608957. The next prime is 66608963. The reversal of 66608960 is 6980666.

It is an interprime number because it is at equal distance from previous prime (66608957) and next prime (66608963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66608963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446966 + ... + 447114.

Almost surely, 266608960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

66608960 is an abundant number, since it is smaller than the sum of its proper divisors (108955840).

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

66608960 is a wasteful number, since it uses less digits than its factorization.

66608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 66608960 is about 8161.4312470301. The cubic root of 66608960 is about 405.3631047308.

The spelling of 66608960 in words is "sixty-six million, six hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 127 149 160 176 220 254 298 320 352 440 508 596 635 704 745 880 1016 1192 1270 1397 1490 1639 1760 2032 2384 2540 2794 2980 3278 3520 4064 4768 5080 5588 5960 6556 6985 8128 8195 9536 10160 11176 11920 13112 13970 16390 18923 20320 22352 23840 26224 27940 32780 37846 40640 44704 47680 52448 55880 65560 75692 89408 94615 104896 111760 131120 151384 189230 208153 223520 262240 302768 378460 416306 447040 524480 605536 756920 832612 1040765 1211072 1513840 1665224 2081530 3027680 3330448 4163060 6055360 6660896 8326120 13321792 16652240 33304480 66608960