56896800 has 144 divisors (see below), whose sum is σ = 187612992. Its totient is φ = 14976000.

The previous prime is 56896789. The next prime is 56896817. The reversal of 56896800 is 869865.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362322 + ... + 362478.

It is an arithmetic number, because the mean of its divisors is an integer number (1302868).

Almost surely, 2^56896800 is an apocalyptic number.

56896800 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 56896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93806496).

56896800 is an abundant number, since it is smaller than the sum of its proper divisors (130716192).

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

56896800 is a wasteful number, since it uses less digits than its factorization.

56896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

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

The square root of 56896800 is about 7542.9967519548. The cubic root of 56896800 is about 384.6177123962.

The spelling of 56896800 in words is "fifty-six million, eight hundred ninety-six thousand, eight hundred".