56618080 has 48 divisors (see below), whose sum is σ = 136624320. Its totient is φ = 22162432.

The previous prime is 56618077. The next prime is 56618099. The reversal of 56618080 is 8081665.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3756 + ... + 11284.

It is an arithmetic number, because the mean of its divisors is an integer number (2846340).

Almost surely, 2^56618080 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 56618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68312160).

56618080 is an abundant number, since it is smaller than the sum of its proper divisors (80006240).

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

56618080 is a wasteful number, since it uses less digits than its factorization.

56618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 56618080 is about 7524.4986543955. The cubic root of 56618080 is about 383.9886426039.

The spelling of 56618080 in words is "fifty-six million, six hundred eighteen thousand, eighty".