56038080 has 224 divisors, whose sum is σ = 210677760. Its totient is φ = 12349440.

The previous prime is 56038067. The next prime is 56038109. The reversal of 56038080 is 8083065.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208186 + ... + 208454.

Almost surely, 2^56038080 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 56038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

56038080 is an abundant number, since it is smaller than the sum of its proper divisors (154639680).

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

56038080 is a wasteful number, since it uses less digits than its factorization.

56038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

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

The square root of 56038080 is about 7485.8586681823. The cubic root of 56038080 is about 382.6729364524.

The spelling of 56038080 in words is "fifty-six million, thirty-eight thousand, eighty".