396120 has 32 divisors (see below), whose sum is σ = 1188720. Its totient is φ = 105600.

The previous prime is 396119. The next prime is 396157. The reversal of 396120 is 21693.

It is a super-2 number, since 2×396120² = 313822108800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

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, 1531 + ... + 1770.

2³⁹⁶¹²⁰ is an apocalyptic number.

396120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396120 is an abundant number, since it is smaller than the sum of its proper divisors (792600).

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

396120 is a wasteful number, since it uses less digits than its factorization.

396120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 396120 is about 629.3806479389. The cubic root of 396120 is about 73.4416214678.

The spelling of 396120 in words is "three hundred ninety-six thousand, one hundred twenty".