56573600 has 36 divisors (see below), whose sum is σ = 138112254. Its totient is φ = 22629120.

The previous prime is 56573591. The next prime is 56573609. The reversal of 56573600 is 637565.

It is an interprime number because it is at equal distance from previous prime (56573591) and next prime (56573609).

It can be written as a sum of positive squares in 3 ways, for example, as 42042256 + 14531344 = 6484^2 + 3812^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56573609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34559 + ... + 36158.

Almost surely, 2^56573600 is an apocalyptic number.

56573600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56573600 is an abundant number, since it is smaller than the sum of its proper divisors (81538654).

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

56573600 is a wasteful number, since it uses less digits than its factorization.

56573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70737 (or 70724 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 56573600 is about 7521.5423950145. The cubic root of 56573600 is about 383.8880605431. Note that the first 3 decimals are identical.

The spelling of 56573600 in words is "fifty-six million, five hundred seventy-three thousand, six hundred".