56487600 has 360 divisors, whose sum is σ = 226672992. Its totient is φ = 12902400.

The previous prime is 56487581. The next prime is 56487637. The reversal of 56487600 is 678465.

It is a happy number.

56487600 is a `hidden beast` number, since 5 + 6 + 48 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795565 + ... + 795635.

Almost surely, 2^56487600 is an apocalyptic number.

56487600 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 56487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

56487600 is an abundant number, since it is smaller than the sum of its proper divisors (170185392).

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

56487600 is a wasteful number, since it uses less digits than its factorization.

56487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56487600 is about 7515.8233081945. The cubic root of 56487600 is about 383.6934402243.

The spelling of 56487600 in words is "fifty-six million, four hundred eighty-seven thousand, six hundred".