56540800 has 48 divisors (see below), whose sum is σ = 139681350. Its totient is φ = 22615040.

The previous prime is 56540791. The next prime is 56540801. The reversal of 56540800 is 804565.

It can be written as a sum of positive squares in 3 ways, for example, as 33269824 + 23270976 = 5768^2 + 4824^2 .

It is not an unprimeable number, because it can be changed into a prime (56540801) 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, 5635 + ... + 12034.

Almost surely, 2^56540800 is an apocalyptic number.

56540800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56540800 is an abundant number, since it is smaller than the sum of its proper divisors (83140550).

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

56540800 is a wasteful number, since it uses less digits than its factorization.

56540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17693 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 56540800 is about 7519.3616750360. The cubic root of 56540800 is about 383.8138565411.

The spelling of 56540800 in words is "fifty-six million, five hundred forty thousand, eight hundred".