56267280 has 120 divisors (see below), whose sum is σ = 200123352. Its totient is φ = 14118912.

The previous prime is 56267273. The next prime is 56267327. The reversal of 56267280 is 8276265.

56267280 is a `hidden beast` number, since 5 + 626 + 7 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 53758224 = 1584^2 + 7332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 9942 + ... + 14538.

Almost surely, 2^56267280 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 56267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100061676).

56267280 is an abundant number, since it is smaller than the sum of its proper divisors (143856072).

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

56267280 is a wasteful number, since it uses less digits than its factorization.

56267280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4624 counting only the distinct ones).

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

The square root of 56267280 is about 7501.1519115400. The cubic root of 56267280 is about 383.1939472227.

The spelling of 56267280 in words is "fifty-six million, two hundred sixty-seven thousand, two hundred eighty".