390600768 has 168 divisors, whose sum is σ = 1115019360. Its totient is φ = 120565760.

The previous prime is 390600767. The next prime is 390600787. The reversal of 390600768 is 867006093.

It is not an unprimeable number, because it can be changed into a prime (390600767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6620323 + ... + 6620381.

It is an arithmetic number, because the mean of its divisors is an integer number (6637020).

Almost surely, 2^390600768 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 390600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557509680).

390600768 is an abundant number, since it is smaller than the sum of its proper divisors (724418592).

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

390600768 is a wasteful number, since it uses less digits than its factorization.

390600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 390600768 is about 19763.6223400469. The cubic root of 390600768 is about 730.9893185504.

The spelling of 390600768 in words is "three hundred ninety million, six hundred thousand, seven hundred sixty-eight".