56382080 has 64 divisors (see below), whose sum is σ = 138489480. Its totient is φ = 21934080.

The previous prime is 56382059. The next prime is 56382083. The reversal of 56382080 is 8028365.

It can be written as a sum of positive squares in 4 ways, for example, as 37650496 + 18731584 = 6136^2 + 4328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56382083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22490 + ... + 24870.

Almost surely, 2^56382080 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 56382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69244740).

56382080 is an abundant number, since it is smaller than the sum of its proper divisors (82107400).

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

56382080 is a wasteful number, since it uses less digits than its factorization.

56382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 56382080 is about 7508.8001704667. The cubic root of 56382080 is about 383.4543755540.

The spelling of 56382080 in words is "fifty-six million, three hundred eighty-two thousand, eighty".