56913600 has 168 divisors, whose sum is σ = 190487808. Its totient is φ = 14873600.

The previous prime is 56913589. The next prime is 56913629. The reversal of 56913600 is 631965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 340717 + ... + 340883.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^56913600 is an apocalyptic number.

56913600 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 56913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

56913600 is an abundant number, since it is smaller than the sum of its proper divisors (133574208).

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

56913600 is a wasteful number, since it uses less digits than its factorization.

56913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 56913600 is about 7544.1102855141. The cubic root of 56913600 is about 384.6555642127.

The spelling of 56913600 in words is "fifty-six million, nine hundred thirteen thousand, six hundred".