56536700 has 72 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 20318400.

The previous prime is 56536687. The next prime is 56536757. The reversal of 56536700 is 763565.

56536700 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

56536700 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113051 + ... + 113549.

Almost surely, 2^56536700 is an apocalyptic number.

56536700 is a gapful number since it is divisible by the number (50) 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 56536700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

56536700 is an abundant number, since it is smaller than the sum of its proper divisors (78871300).

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

56536700 is a wasteful number, since it uses less digits than its factorization.

56536700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 56536700 is about 7519.0890405687. The cubic root of 56536700 is about 383.8045790232.

The spelling of 56536700 in words is "fifty-six million, five hundred thirty-six thousand, seven hundred".