56467080 has 96 divisors (see below), whose sum is σ = 185454360. Its totient is φ = 14899200.

The previous prime is 56467079. The next prime is 56467087. The reversal of 56467080 is 8076465.

It is a happy number.

56467080 is a `hidden beast` number, since 5 + 646 + 7 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47858724 + 8608356 = 6918^2 + 2934^2 .

It is a super-2 number, since 2×56467080² = 6377062247452800, which contains 22 as substring.

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 (56467087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35584 + ... + 37136.

Almost surely, 2^56467080 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 56467080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92727180).

56467080 is an abundant number, since it is smaller than the sum of its proper divisors (128987280).

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

56467080 is a wasteful number, since it uses less digits than its factorization.

56467080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1664 counting only the distinct ones).

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

The square root of 56467080 is about 7514.4580642918. The cubic root of 56467080 is about 383.6469737256.

The spelling of 56467080 in words is "fifty-six million, four hundred sixty-seven thousand, eighty".