516564 has 24 divisors (see below), whose sum is σ = 1339520. Its totient is φ = 172152.

The previous prime is 516563. The next prime is 516587. The reversal of 516564 is 465615.

It is a happy number.

516564 is a `hidden beast` number, since 5 + 1 + 656 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516563) 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, 2284 + ... + 2499.

2⁵¹⁶⁵⁶⁴ is an apocalyptic number.

516564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

516564 is an abundant number, since it is smaller than the sum of its proper divisors (822956).

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

516564 is a wasteful number, since it uses less digits than its factorization.

516564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4788 counting only the distinct ones).

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

The square root of 516564 is about 718.7238690902. The cubic root of 516564 is about 80.2370054949.

The spelling of 516564 in words is "five hundred sixteen thousand, five hundred sixty-four".