56164080 has 160 divisors (see below), whose sum is σ = 201558528. Its totient is φ = 12672000.

The previous prime is 56164049. The next prime is 56164093. The reversal of 56164080 is 8046165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169515 + ... + 169845.

Almost surely, 2^56164080 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 56164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100779264).

56164080 is an abundant number, since it is smaller than the sum of its proper divisors (145394448).

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

56164080 is a wasteful number, since it uses less digits than its factorization.

56164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56164080 is about 7494.2698109956. The cubic root of 56164080 is about 382.9595314312.

The spelling of 56164080 in words is "fifty-six million, one hundred sixty-four thousand, eighty".