508120 has 16 divisors (see below), whose sum is σ = 1143360. Its totient is φ = 203232.

The previous prime is 508103. The next prime is 508129. The reversal of 508120 is 21805.

508120 = 177² + 178² + ... + 191².

It is a happy number.

508120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 508094 and 508103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6312 + ... + 6391.

It is an arithmetic number, because the mean of its divisors is an integer number (71460).

2⁵⁰⁸¹²⁰ is an apocalyptic number.

It is an amenable number.

508120 is an abundant number, since it is smaller than the sum of its proper divisors (635240).

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

508120 is a wasteful number, since it uses less digits than its factorization.

508120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 508120 is about 712.8253643074. The cubic root of 508120 is about 79.7974040357.

Adding to 508120 its reverse (21805), we get a palindrome (529925).

The spelling of 508120 in words is "five hundred eight thousand, one hundred twenty".