508560 has 80 divisors (see below), whose sum is σ = 1708224. Its totient is φ = 124416.

The previous prime is 508559. The next prime is 508567. The reversal of 508560 is 65805.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 508560.

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 508560.

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 15 ways as a sum of consecutive naturals, for example, 3039 + ... + 3201.

2⁵⁰⁸⁵⁶⁰ 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 508560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854112).

508560 is an abundant number, since it is smaller than the sum of its proper divisors (1199664).

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

508560 is a wasteful number, since it uses less digits than its factorization.

508560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 508560 is about 713.1339285155. The cubic root of 508560 is about 79.8204305702.

Subtracting from 508560 its sum of digits (24), we obtain a triangular number (508536 = T₁₀₀₈).

The spelling of 508560 in words is "five hundred eight thousand, five hundred sixty".