56845600 has 72 divisors (see below), whose sum is σ = 158614848. Its totient is φ = 19488000.

The previous prime is 56845583. The next prime is 56845601. The reversal of 56845600 is 654865.

It is not an unprimeable number, because it can be changed into a prime (56845601) by changing a digit.

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, 525 + ... + 10675.

It is an arithmetic number, because the mean of its divisors is an integer number (2202984).

Almost surely, 2^56845600 is an apocalyptic number.

56845600 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 56845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79307424).

56845600 is an abundant number, since it is smaller than the sum of its proper divisors (101769248).

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

56845600 is a wasteful number, since it uses less digits than its factorization.

56845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 56845600 is about 7539.6021115176. The cubic root of 56845600 is about 384.5023085027.

The spelling of 56845600 in words is "fifty-six million, eight hundred forty-five thousand, six hundred".