56507600 has 30 divisors (see below), whose sum is σ = 135760470. Its totient is φ = 22602880.

The previous prime is 56507569. The next prime is 56507617. The reversal of 56507600 is 670565.

It can be written as a sum of positive squares in 3 ways, for example, as 4032064 + 52475536 = 2008^2 + 7244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70235 + ... + 71034.

It is an arithmetic number, because the mean of its divisors is an integer number (4525349).

Almost surely, 2^56507600 is an apocalyptic number.

56507600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56507600 is an abundant number, since it is smaller than the sum of its proper divisors (79252870).

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

56507600 is a wasteful number, since it uses less digits than its factorization.

56507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141287 (or 141276 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 56507600 is about 7517.1537166670. The cubic root of 56507600 is about 383.7387183815.

The spelling of 56507600 in words is "fifty-six million, five hundred seven thousand, six hundred".