508764 has 12 divisors (see below), whose sum is σ = 1187144. Its totient is φ = 169584.

The previous prime is 508727. The next prime is 508771. The reversal of 508764 is 467805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 508764.

It is an unprimeable number.

508764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 21187 + ... + 21210.

2⁵⁰⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

508764 is an abundant number, since it is smaller than the sum of its proper divisors (678380).

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

508764 is a wasteful number, since it uses less digits than its factorization.

508764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42404 (or 42402 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 508764 is about 713.2769448118. The cubic root of 508764 is about 79.8311020026.

It can be divided in two parts, 5087 and 64, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 508764 in words is "five hundred eight thousand, seven hundred sixty-four".