56537600 has 120 divisors (see below), whose sum is σ = 160340928. Its totient is φ = 19353600.

The previous prime is 56537599. The next prime is 56537659. The reversal of 56537600 is 673565.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 89285 + ... + 89915.

Almost surely, 2^56537600 is an apocalyptic number.

56537600 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 56537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80170464).

56537600 is an abundant number, since it is smaller than the sum of its proper divisors (103803328).

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

56537600 is an equidigital number, since it uses as much as digits as its factorization.

56537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

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

The square root of 56537600 is about 7519.1488880059. The cubic root of 56537600 is about 383.8066155899.

The spelling of 56537600 in words is "fifty-six million, five hundred thirty-seven thousand, six hundred".