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630616968 = 23335715113
BaseRepresentation
bin100101100101100…
…111001110001000
31121221121122212000
4211211213032020
52242414220333
6142324151000
721425104302
oct4545471610
91557548760
10630616968
112a3a6a953
12157238460
13a0858647
145da76972
153a569713
hex25967388

630616968 has 64 divisors (see below), whose sum is σ = 1755124800. Its totient is φ = 209796480.

The previous prime is 630616951. The next prime is 630616981. The reversal of 630616968 is 869616036.

630616968 is a `hidden beast` number, since 630 + 6 + 1 + 6 + 9 + 6 + 8 = 666.

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, 120780 + ... + 125892.

It is an arithmetic number, because the mean of its divisors is an integer number (27423825).

Almost surely, 2630616968 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 630616968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877562400).

630616968 is an abundant number, since it is smaller than the sum of its proper divisors (1124507832).

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

630616968 is a wasteful number, since it uses less digits than its factorization.

630616968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 630616968 is about 25112.0880852230. The cubic root of 630616968 is about 857.5416398675.

The spelling of 630616968 in words is "six hundred thirty million, six hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 571 1142 1713 2284 3426 4568 5113 5139 6852 10226 10278 13704 15339 15417 20452 20556 30678 30834 40904 41112 46017 61356 61668 92034 122712 123336 138051 184068 276102 368136 552204 1104408 2919523 5839046 8758569 11678092 17517138 23356184 26275707 35034276 52551414 70068552 78827121 105102828 157654242 210205656 315308484 630616968