56388600 has 72 divisors (see below), whose sum is σ = 189377760. Its totient is φ = 15036480.

The previous prime is 56388593. The next prime is 56388649. The reversal of 56388600 is 688365.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 13864 + ... + 17463.

Almost surely, 2^56388600 is an apocalyptic number.

56388600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56388600 is an abundant number, since it is smaller than the sum of its proper divisors (132989160).

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

56388600 is a wasteful number, since it uses less digits than its factorization.

56388600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31349 (or 31337 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56388600 is about 7509.2343151616. The cubic root of 56388600 is about 383.4691558185.

The spelling of 56388600 in words is "fifty-six million, three hundred eighty-eight thousand, six hundred".