5056560 has 80 divisors (see below), whose sum is σ = 17424480. Its totient is φ = 1347840.

The previous prime is 5056559. The next prime is 5056561. The reversal of 5056560 is 656505.

5056560 is a `hidden beast` number, since 5 + 0 + 5 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5056559) and next prime (5056561).

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 (27).

It is not an unprimeable number, because it can be changed into a prime (5056561) 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, 990 + ... + 3330.

It is an arithmetic number, because the mean of its divisors is an integer number (217806).

Almost surely, 2^5056560 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 5056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712240).

5056560 is an abundant number, since it is smaller than the sum of its proper divisors (12367920).

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

5056560 is a wasteful number, since it uses less digits than its factorization.

5056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5056560 is about 2248.6796125727. The cubic root of 5056560 is about 171.6399535313.

It can be divided in two parts, 50565 and 60, that added together give a 4-th power (50625 = 15⁴).

The spelling of 5056560 in words is "five million, fifty-six thousand, five hundred sixty".