56280960 has 128 divisors (see below), whose sum is σ = 199389600. Its totient is φ = 15003648.

The previous prime is 56280947. The next prime is 56280989. The reversal of 56280960 is 6908265.

56280960 is a `hidden beast` number, since 562 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15652 + ... + 18908.

Almost surely, 2^56280960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99694800).

56280960 is an abundant number, since it is smaller than the sum of its proper divisors (143108640).

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

56280960 is a wasteful number, since it uses less digits than its factorization.

56280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3267 counting only the distinct ones).

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

The square root of 56280960 is about 7502.0637160717. The cubic root of 56280960 is about 383.2249994223.

The spelling of 56280960 in words is "fifty-six million, two hundred eighty thousand, nine hundred sixty".