56615424 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 17203200.

The previous prime is 56615417. The next prime is 56615431. The reversal of 56615424 is 42451665.

It is an interprime number because it is at equal distance from previous prime (56615417) and next prime (56615431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380844 + ... + 1380884.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^56615424 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 56615424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

56615424 is an abundant number, since it is smaller than the sum of its proper divisors (108374016).

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

56615424 is a wasteful number, since it uses less digits than its factorization.

56615424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 56615424 is about 7524.3221621619. The cubic root of 56615424 is about 383.9826381039.

The spelling of 56615424 in words is "fifty-six million, six hundred fifteen thousand, four hundred twenty-four".