256624632 has 64 divisors (see below), whose sum is σ = 777657600. Its totient is φ = 77764320.

The previous prime is 256624607. The next prime is 256624649. The reversal of 256624632 is 236426652.

256624632 is a `hidden beast` number, since 25 + 6 + 624 + 6 + 3 + 2 = 666.

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

It is a congruent number.

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, 51628 + ... + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (12150900).

Almost surely, 2^256624632 is an apocalyptic number.

256624632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256624632 is an abundant number, since it is smaller than the sum of its proper divisors (521032968).

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

256624632 is a wasteful number, since it uses less digits than its factorization.

256624632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108033 (or 108023 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 256624632 is about 16019.5078576091. The cubic root of 256624632 is about 635.4764291945.

The spelling of 256624632 in words is "two hundred fifty-six million, six hundred twenty-four thousand, six hundred thirty-two".