56955600 has 180 divisors, whose sum is σ = 213030636. Its totient is φ = 14008320.

The previous prime is 56955589. The next prime is 56955637. The reversal of 56955600 is 655965.

56955600 is a `hidden beast` number, since 5 + 6 + 95 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9511056 + 47444544 = 3084^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 46192 + ... + 47408.

Almost surely, 2^56955600 is an apocalyptic number.

56955600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106515318).

56955600 is an abundant number, since it is smaller than the sum of its proper divisors (156075036).

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

56955600 is a wasteful number, since it uses less digits than its factorization.

56955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 56955600 is about 7546.8934005987. The cubic root of 56955600 is about 384.7501611765.

It can be divided in two parts, 569 and 55600, that added together give a square (56169 = 237²).

The spelling of 56955600 in words is "fifty-six million, nine hundred fifty-five thousand, six hundred".