632872968 has 256 divisors, whose sum is σ = 2086318080. Its totient is φ = 155409408.

The previous prime is 632872951. The next prime is 632872997. The reversal of 632872968 is 869278236.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 632872968.

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 63 ways as a sum of consecutive naturals, for example, 2159830 + ... + 2160122.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2^632872968 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 632872968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043159040).

632872968 is an abundant number, since it is smaller than the sum of its proper divisors (1453445112).

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

632872968 is a wasteful number, since it uses less digits than its factorization.

632872968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 632872968 is about 25156.9665897938. The cubic root of 632872968 is about 858.5630266562.

The spelling of 632872968 in words is "six hundred thirty-two million, eight hundred seventy-two thousand, nine hundred sixty-eight".