56008560 has 80 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 14791680.

The previous prime is 56008543. The next prime is 56008571. The reversal of 56008560 is 6580065.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 25090 + ... + 27230.

It is an arithmetic number, because the mean of its divisors is an integer number (2191266).

Almost surely, 2^56008560 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 56008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

56008560 is an abundant number, since it is smaller than the sum of its proper divisors (119292720).

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

56008560 is a wasteful number, since it uses less digits than its factorization.

56008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 56008560 is about 7483.8866907510. The cubic root of 56008560 is about 382.6057292410.

The spelling of 56008560 in words is "fifty-six million, eight thousand, five hundred sixty".