390996 has 18 divisors (see below), whose sum is σ = 988442. Its totient is φ = 130320.

The previous prime is 390991. The next prime is 391009. The reversal of 390996 is 699093.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 72900 = 564^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10861 = 390996 / (3 + 9 + 0 + 9 + 9 + 6).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 390996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5395 + ... + 5466.

2³⁹⁰⁹⁹⁶ is an apocalyptic number.

390996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

390996 is an abundant number, since it is smaller than the sum of its proper divisors (597446).

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

390996 is a wasteful number, since it uses less digits than its factorization.

390996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 390996 is about 625.2967295613. The cubic root of 390996 is about 73.1235787583.

It can be divided in two parts, 3909 and 96, that added together give a triangular number (4005 = T₈₉).

The spelling of 390996 in words is "three hundred ninety thousand, nine hundred ninety-six".