390653568 has 96 divisors (see below), whose sum is σ = 1160515200. Its totient is φ = 126005760.

The previous prime is 390653539. The next prime is 390653569. The reversal of 390653568 is 865356093.

390653568 is a `hidden beast` number, since 39 + 0 + 6 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×390653568² = 305220420382261248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390653569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30243 + ... + 41181.

It is an arithmetic number, because the mean of its divisors is an integer number (12088700).

Almost surely, 2^390653568 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 390653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580257600).

390653568 is an abundant number, since it is smaller than the sum of its proper divisors (769861632).

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

390653568 is a wasteful number, since it uses less digits than its factorization.

390653568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 390653568 is about 19764.9580824246. The cubic root of 390653568 is about 731.0222545644.

The spelling of 390653568 in words is "three hundred ninety million, six hundred fifty-three thousand, five hundred sixty-eight".