56635160 has 64 divisors (see below), whose sum is σ = 138633120. Its totient is φ = 20736000.

The previous prime is 56635157. The next prime is 56635193. The reversal of 56635160 is 6153665.

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 15 ways as a sum of consecutive naturals, for example, 24035 + ... + 26285.

Almost surely, 2^56635160 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 56635160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69316560).

56635160 is an abundant number, since it is smaller than the sum of its proper divisors (81997960).

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

56635160 is a wasteful number, since it uses less digits than its factorization.

56635160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 56635160 is about 7525.6335281490. The cubic root of 56635160 is about 384.0272513935.

The spelling of 56635160 in words is "fifty-six million, six hundred thirty-five thousand, one hundred sixty".