56618496 has 120 divisors (see below), whose sum is σ = 178419384. Its totient is φ = 17141760.

The previous prime is 56618477. The next prime is 56618509. The reversal of 56618496 is 69481665.

56618496 is a `hidden beast` number, since 566 + 1 + 84 + 9 + 6 = 666.

Its product of digits (311040) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50130 + ... + 51246.

Almost surely, 2^56618496 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 56618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89209692).

56618496 is an abundant number, since it is smaller than the sum of its proper divisors (121800888).

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

56618496 is a wasteful number, since it uses less digits than its factorization.

56618496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1133 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56618496 is about 7524.5262973824. The cubic root of 56618496 is about 383.9895830508.

The spelling of 56618496 in words is "fifty-six million, six hundred eighteen thousand, four hundred ninety-six".