56338600 has 48 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 22008000.

The previous prime is 56338577. The next prime is 56338609. The reversal of 56338600 is 683365.

56338600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56338609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5325 + ... + 11875.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^56338600 is an apocalyptic number.

56338600 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 56338600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

56338600 is an abundant number, since it is smaller than the sum of its proper divisors (77715320).

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

56338600 is a wasteful number, since it uses less digits than its factorization.

56338600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 56338600 is about 7505.9043425826. The cubic root of 56338600 is about 383.3557810841.

The spelling of 56338600 in words is "fifty-six million, three hundred thirty-eight thousand, six hundred".