56315600 has 60 divisors (see below), whose sum is σ = 147609600. Its totient is φ = 20476800.

The previous prime is 56315579. The next prime is 56315621. The reversal of 56315600 is 651365.

It is an interprime number because it is at equal distance from previous prime (56315579) and next prime (56315621).

It is a self number, because there is not a number n which added to its sum of digits gives 56315600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2000 + ... + 10799.

It is an arithmetic number, because the mean of its divisors is an integer number (2460160).

Almost surely, 2^56315600 is an apocalyptic number.

56315600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56315600 is an abundant number, since it is smaller than the sum of its proper divisors (91294000).

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

56315600 is a wasteful number, since it uses less digits than its factorization.

56315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12828 (or 12817 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 56315600 is about 7504.3720590067. The cubic root of 56315600 is about 383.3036061804.

Adding to 56315600 its reverse (651365), we get a palindrome (56966965).

The spelling of 56315600 in words is "fifty-six million, three hundred fifteen thousand, six hundred".