56689200 has 240 divisors, whose sum is σ = 209882400. Its totient is φ = 14515200.

The previous prime is 56689163. The next prime is 56689201. The reversal of 56689200 is 298665.

56689200 is a `hidden beast` number, since 566 + 8 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (56689201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313110 + ... + 313290.

It is an arithmetic number, because the mean of its divisors is an integer number (874510).

Almost surely, 2^56689200 is an apocalyptic number.

56689200 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 56689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104941200).

56689200 is an abundant number, since it is smaller than the sum of its proper divisors (153193200).

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

56689200 is a wasteful number, since it uses less digits than its factorization.

56689200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

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

The square root of 56689200 is about 7529.2230674884. The cubic root of 56689200 is about 384.1493559633.

The spelling of 56689200 in words is "fifty-six million, six hundred eighty-nine thousand, two hundred".