390156 has 48 divisors (see below), whose sum is σ = 1020768. Its totient is φ = 115200.

The previous prime is 390151. The next prime is 390157. The reversal of 390156 is 651093.

390156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390156.

It is not an unprimeable number, because it can be changed into a prime (390151) by changing a digit.

390156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6366 + ... + 6426.

It is an arithmetic number, because the mean of its divisors is an integer number (21266).

2³⁹⁰¹⁵⁶ 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 390156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510384).

390156 is an abundant number, since it is smaller than the sum of its proper divisors (630612).

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

390156 is a wasteful number, since it uses less digits than its factorization.

390156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 390156 is about 624.6246873123. The cubic root of 390156 is about 73.0711759668.

The spelling of 390156 in words is "three hundred ninety thousand, one hundred fifty-six".