56124560 has 80 divisors (see below), whose sum is σ = 136497216. Its totient is φ = 21441024.

The previous prime is 56124559. The next prime is 56124569. The reversal of 56124560 is 6542165.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56124569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198179 + ... + 198461.

Almost surely, 2^56124560 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 56124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68248608).

56124560 is an abundant number, since it is smaller than the sum of its proper divisors (80372656).

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

56124560 is a wasteful number, since it uses less digits than its factorization.

56124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 56124560 is about 7491.6326658479. The cubic root of 56124560 is about 382.8696868669.

The spelling of 56124560 in words is "fifty-six million, one hundred twenty-four thousand, five hundred sixty".