56977200 has 540 divisors, whose sum is σ = 256356360. Its totient is φ = 11612160.

The previous prime is 56977133. The next prime is 56977211. The reversal of 56977200 is 277965.

56977200 is a `hidden beast` number, since 569 + 77 + 20 + 0 = 666.

56977200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998791 + ... + 2998809.

It is an arithmetic number, because the mean of its divisors is an integer number (474734).

Almost surely, 2^56977200 is an apocalyptic number.

56977200 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 56977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128178180).

56977200 is an abundant number, since it is smaller than the sum of its proper divisors (199379160).

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

56977200 is a wasteful number, since it uses less digits than its factorization.

56977200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 56977200 is about 7548.3243173568. The cubic root of 56977200 is about 384.7987929360.

The spelling of 56977200 in words is "fifty-six million, nine hundred seventy-seven thousand, two hundred".