56975600 has 120 divisors (see below), whose sum is σ = 156097152. Its totient is φ = 19782400.

The previous prime is 56975593. The next prime is 56975603. The reversal of 56975600 is 657965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56975603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100919 + ... + 101481.

Almost surely, 2^56975600 is an apocalyptic number.

56975600 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 56975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78048576).

56975600 is an abundant number, since it is smaller than the sum of its proper divisors (99121552).

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

56975600 is a wasteful number, since it uses less digits than its factorization.

56975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 56975600 is about 7548.2183328253. The cubic root of 56975600 is about 384.7951910049.

It can be divided in two parts, 56975 and 600, that added together give a palindrome (57575).

The spelling of 56975600 in words is "fifty-six million, nine hundred seventy-five thousand, six hundred".