56018560 has 64 divisors (see below), whose sum is σ = 144242280. Its totient is φ = 20680704.

The previous prime is 56018533. The next prime is 56018561. The reversal of 56018560 is 6581065.

It can be written as a sum of positive squares in 4 ways, for example, as 51036736 + 4981824 = 7144^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56018561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4954 + ... + 11686.

Almost surely, 2^56018560 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 56018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72121140).

56018560 is an abundant number, since it is smaller than the sum of its proper divisors (88223720).

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

56018560 is a wasteful number, since it uses less digits than its factorization.

56018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 56018560 is about 7484.5547629769. The cubic root of 56018560 is about 382.6284985558.

It can be divided in two parts, 5601 and 8560, that added together give a square (14161 = 119²).

The spelling of 56018560 in words is "fifty-six million, eighteen thousand, five hundred sixty".