5160564 has 48 divisors (see below), whose sum is σ = 13587840. Its totient is φ = 1693440.

The previous prime is 5160563. The next prime is 5160569. The reversal of 5160564 is 4650615.

It is a happy number.

5160564 is a `hidden beast` number, since 51 + 605 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160563) 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, 7332 + ... + 8004.

It is an arithmetic number, because the mean of its divisors is an integer number (283080).

Almost surely, 2^5160564 is an apocalyptic number.

5160564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793920).

5160564 is an abundant number, since it is smaller than the sum of its proper divisors (8427276).

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

5160564 is a wasteful number, since it uses less digits than its factorization.

5160564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5160564 is about 2271.6874785058. The cubic root of 5160564 is about 172.8087476282.

The spelling of 5160564 in words is "five million, one hundred sixty thousand, five hundred sixty-four".