56348800 has 48 divisors (see below), whose sum is σ = 139207050. Its totient is φ = 22538240.

The previous prime is 56348797. The next prime is 56348807. The reversal of 56348800 is 884365.

It can be written as a sum of positive squares in 3 ways, for example, as 47444544 + 8904256 = 6888^2 + 2984^2 .

It is a super-2 number, since 2×56348800² = 6350374522880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56348807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5605 + ... + 12004.

Almost surely, 2^56348800 is an apocalyptic number.

56348800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56348800 is an abundant number, since it is smaller than the sum of its proper divisors (82858250).

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

56348800 is a wasteful number, since it uses less digits than its factorization.

56348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17633 (or 17616 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 56348800 is about 7506.5837769254. The cubic root of 56348800 is about 383.3789149746.

The spelling of 56348800 in words is "fifty-six million, three hundred forty-eight thousand, eight hundred".