56712600 has 216 divisors, whose sum is σ = 221899860. Its totient is φ = 12942720.

The previous prime is 56712583. The next prime is 56712631. The reversal of 56712600 is 621765.

56712600 is a `hidden beast` number, since 56 + 7 + 1 + 2 + 600 = 666.

56712600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 53 ways as a sum of consecutive naturals, for example, 87879 + ... + 88521.

Almost surely, 2^56712600 is an apocalyptic number.

56712600 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 56712600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110949930).

56712600 is an abundant number, since it is smaller than the sum of its proper divisors (165187260).

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

56712600 is a wasteful number, since it uses less digits than its factorization.

56712600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56712600 is about 7530.7768523573. The cubic root of 56712600 is about 384.2022047033.

The spelling of 56712600 in words is "fifty-six million, seven hundred twelve thousand, six hundred".