56600 has 24 divisors (see below), whose sum is σ = 132060. Its totient is φ = 22560.

The previous prime is 56599. The next prime is 56611. The reversal of 56600 is 665.

It is a happy number.

56600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59 + ... + 341.

2⁵⁶⁶⁰⁰ is an apocalyptic number.

56600 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 56600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66030).

56600 is an abundant number, since it is smaller than the sum of its proper divisors (75460).

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

56600 is a wasteful number, since it uses less digits than its factorization.

56600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 56600 is about 237.9075450674. The cubic root of 56600 is about 38.3947764886.

It can be divided in two parts, 56 and 600, that added together give a palindrome (656).

The spelling of 56600 in words is "fifty-six thousand, six hundred".