390085668 has 90 divisors (see below), whose sum is σ = 1150577974. Its totient is φ = 111428352.

The previous prime is 390085627. The next prime is 390085669. The reversal of 390085668 is 866580093.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 190937124 = 14112^2 + 13818^2 .

It is not an unprimeable number, because it can be changed into a prime (390085669) 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 29 ways as a sum of consecutive naturals, for example, 84180 + ... + 88692.

Almost surely, 2^390085668 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 390085668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575288987).

390085668 is an abundant number, since it is smaller than the sum of its proper divisors (760492306).

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

390085668 is a wasteful number, since it uses less digits than its factorization.

390085668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 390085668 is about 19750.5865229365. The cubic root of 390085668 is about 730.6678494477.

The spelling of 390085668 in words is "three hundred ninety million, eighty-five thousand, six hundred sixty-eight".