56096800 has 36 divisors (see below), whose sum is σ = 136948266. Its totient is φ = 22438400.

The previous prime is 56096791. The next prime is 56096813. The reversal of 56096800 is 869065.

56096800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27751824 + 28344976 = 5268^2 + 5324^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 34261 + ... + 35860.

Almost surely, 2^56096800 is an apocalyptic number.

56096800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56096800 is an abundant number, since it is smaller than the sum of its proper divisors (80851466).

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

56096800 is a wasteful number, since it uses less digits than its factorization.

56096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70141 (or 70128 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 56096800 is about 7489.7797030353. The cubic root of 56096800 is about 382.8065522052.

The spelling of 56096800 in words is "fifty-six million, ninety-six thousand, eight hundred".