390120 has 32 divisors (see below), whose sum is σ = 1170720. Its totient is φ = 104000.

The previous prime is 390119. The next prime is 390151. The reversal of 390120 is 21093.

390120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×390120² = 304387228800, which contains 22 as substring.

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 390120.

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, 1506 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (36585).

2³⁹⁰¹²⁰ is an apocalyptic number.

390120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390120 is an abundant number, since it is smaller than the sum of its proper divisors (780600).

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

390120 is a wasteful number, since it uses less digits than its factorization.

390120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 390120 is about 624.5958693427. The cubic root of 390120 is about 73.0689284528.

The spelling of 390120 in words is "three hundred ninety thousand, one hundred twenty".