507120 has 40 divisors (see below), whose sum is σ = 1572816. Its totient is φ = 135168.

The previous prime is 507119. The next prime is 507137. The reversal of 507120 is 21705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 507120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817 + ... + 1296.

2⁵⁰⁷¹²⁰ is an apocalyptic number.

It is an amenable number.

507120 is an abundant number, since it is smaller than the sum of its proper divisors (1065696).

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

507120 is a wasteful number, since it uses less digits than its factorization.

507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 507120 is about 712.1235847801. The cubic root of 507120 is about 79.7450215214.

Adding to 507120 its reverse (21705), we get a palindrome (528825).

The spelling of 507120 in words is "five hundred seven thousand, one hundred twenty".