632974056 has 256 divisors, whose sum is σ = 2075673600. Its totient is φ = 157593600.

The previous prime is 632974033. The next prime is 632974079. The reversal of 632974056 is 650479236.

It is an interprime number because it is at equal distance from previous prime (632974033) and next prime (632974079).

It is a super-2 number, since 2×632974056² = 801312311138182272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 632973999 and 632974017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1108251 + ... + 1108821.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^632974056 is an apocalyptic number.

632974056 is a gapful number since it is divisible by the number (66) 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 632974056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

632974056 is an abundant number, since it is smaller than the sum of its proper divisors (1442699544).

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

632974056 is a wasteful number, since it uses less digits than its factorization.

632974056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 632974056 is about 25158.9756548235. The cubic root of 632974056 is about 858.6087366186.

The spelling of 632974056 in words is "six hundred thirty-two million, nine hundred seventy-four thousand, fifty-six".