508164 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 153088.

The previous prime is 508159. The next prime is 508171. The reversal of 508164 is 461805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9562 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁵⁰⁸¹⁶⁴ 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 508164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

508164 is an abundant number, since it is smaller than the sum of its proper divisors (798204).

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

508164 is a wasteful number, since it uses less digits than its factorization.

508164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 508164 is about 712.8562267386. The cubic root of 508164 is about 79.7997072872.

Adding to 508164 its reverse (461805), we get a palindrome (969969).

The spelling of 508164 in words is "five hundred eight thousand, one hundred sixty-four".