390820968 has 144 divisors (see below), whose sum is σ = 1145639040. Its totient is φ = 120225600.

The previous prime is 390820967. The next prime is 390820981. The reversal of 390820968 is 869028093.

It is not an unprimeable number, because it can be changed into a prime (390820967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180563 + ... + 1180893.

Almost surely, 2^390820968 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 390820968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572819520).

390820968 is an abundant number, since it is smaller than the sum of its proper divisors (754818072).

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

390820968 is a wasteful number, since it uses less digits than its factorization.

390820968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 390820968 is about 19769.1923962513. The cubic root of 390820968 is about 731.1266570838.

The spelling of 390820968 in words is "three hundred ninety million, eight hundred twenty thousand, nine hundred sixty-eight".