390768 has 40 divisors (see below), whose sum is σ = 1154688. Its totient is φ = 111552.

The previous prime is 390763. The next prime is 390781. The reversal of 390768 is 867093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 246 + ... + 917.

2³⁹⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

390768 is an abundant number, since it is smaller than the sum of its proper divisors (763920).

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

390768 is a wasteful number, since it uses less digits than its factorization.

390768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 390768 is about 625.1143895320. The cubic root of 390768 is about 73.1093625705.

The spelling of 390768 in words is "three hundred ninety thousand, seven hundred sixty-eight".