56510720 has 216 divisors, whose sum is σ = 169868664. Its totient is φ = 17891328.

The previous prime is 56510717. The next prime is 56510743. The reversal of 56510720 is 2701565.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 39337984 = 4144^2 + 6272^2 .

It is a super-2 number, since 2×56510720² = 6386922949836800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56510720.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066214 + ... + 1066266.

It is an arithmetic number, because the mean of its divisors is an integer number (786429).

Almost surely, 2^56510720 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 56510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84934332).

56510720 is an abundant number, since it is smaller than the sum of its proper divisors (113357944).

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

56510720 is a wasteful number, since it uses less digits than its factorization.

56510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 56510720 is about 7517.3612391583. The cubic root of 56510720 is about 383.7457808107.

The spelling of 56510720 in words is "fifty-six million, five hundred ten thousand, seven hundred twenty".