390936 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 102528.

The previous prime is 390893. The next prime is 390953. The reversal of 390936 is 639093.

390936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁹⁰⁹³⁶ 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 390936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

390936 is an abundant number, since it is smaller than the sum of its proper divisors (818664).

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

390936 is a wasteful number, since it uses less digits than its factorization.

390936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 390936 is about 625.2487504986. The cubic root of 390936 is about 73.1198381921.

It can be divided in two parts, 390 and 936, that added together give a triangular number (1326 = T₅₁).

The spelling of 390936 in words is "three hundred ninety thousand, nine hundred thirty-six".