56692800 has 252 divisors, whose sum is σ = 209637376. Its totient is φ = 14515200.

The previous prime is 56692793. The next prime is 56692813. The reversal of 56692800 is 829665.

56692800 is a `hidden beast` number, since 566 + 92 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446337 + ... + 446463.

Almost surely, 2^56692800 is an apocalyptic number.

56692800 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 56692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104818688).

56692800 is an abundant number, since it is smaller than the sum of its proper divisors (152944576).

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

56692800 is a wasteful number, since it uses less digits than its factorization.

56692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 56692800 is about 7529.4621321845. The cubic root of 56692800 is about 384.1574874852.

The spelling of 56692800 in words is "fifty-six million, six hundred ninety-two thousand, eight hundred".