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631620864 = 2832739163
BaseRepresentation
bin100101101001011…
…100010100000000
31122000111122221100
4211221130110000
52243143331424
6142401454400
721436455150
oct4551342400
91560448840
10631620864
112a4596116
12157641400
13a0b1a574
145dc58760
153a6b6dc9
hex25a5c500

631620864 has 108 divisors (see below), whose sum is σ = 2081331616. Its totient is φ = 180458496.

The previous prime is 631620853. The next prime is 631620919. The reversal of 631620864 is 468026136.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3454 + ... + 35709.

Almost surely, 2631620864 is an apocalyptic number.

631620864 is a gapful number since it is divisible by the number (64) 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 631620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040665808).

631620864 is an abundant number, since it is smaller than the sum of its proper divisors (1449710752).

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

631620864 is a wasteful number, since it uses less digits than its factorization.

631620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39192 (or 39175 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 631620864 is about 25132.0684385508. The cubic root of 631620864 is about 857.9964464293.

The spelling of 631620864 in words is "six hundred thirty-one million, six hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 39163 78326 117489 156652 234978 274141 313304 352467 469956 548282 626608 704934 822423 939912 1096564 1253216 1409868 1644846 1879824 2193128 2467269 2506432 2819736 3289692 3759648 4386256 4934538 5012864 5639472 6579384 7519296 8772512 9869076 10025728 11278944 13158768 15038592 17545024 19738152 22557888 26317536 30077184 35090048 39476304 45115776 52635072 70180096 78952608 90231552 105270144 157905216 210540288 315810432 631620864