56968800 has 144 divisors (see below), whose sum is σ = 211986432. Its totient is φ = 13017600.

The previous prime is 56968759. The next prime is 56968801. The reversal of 56968800 is 886965.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56968801) 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 23 ways as a sum of consecutive naturals, for example, 15105 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (1472128).

Almost surely, 2^56968800 is an apocalyptic number.

56968800 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 56968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105993216).

56968800 is an abundant number, since it is smaller than the sum of its proper divisors (155017632).

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

56968800 is a wasteful number, since it uses less digits than its factorization.

56968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 56968800 is about 7547.7678819635. The cubic root of 56968800 is about 384.7798820458.

The spelling of 56968800 in words is "fifty-six million, nine hundred sixty-eight thousand, eight hundred".