508564 has 24 divisors (see below), whose sum is σ = 1044288. Its totient is φ = 212160.

The previous prime is 508559. The next prime is 508567. The reversal of 508564 is 465805.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 1369.

It is an arithmetic number, because the mean of its divisors is an integer number (43512).

2⁵⁰⁸⁵⁶⁴ 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 508564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522144).

508564 is an abundant number, since it is smaller than the sum of its proper divisors (535724).

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

508564 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (508563) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (495).

508564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 508564 is about 713.1367330323. The cubic root of 508564 is about 79.8206398414.

Subtracting from 508564 its sum of digits (28), we obtain a triangular number (508536 = T₁₀₀₈).

The spelling of 508564 in words is "five hundred eight thousand, five hundred sixty-four".