390168688 has 160 divisors (see below), whose sum is σ = 991936512. Its totient is φ = 144460800.

The previous prime is 390168679. The next prime is 390168689. The reversal of 390168688 is 886861093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390168689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042673 + ... + 2042863.

Almost surely, 2^390168688 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 390168688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968256).

390168688 is an abundant number, since it is smaller than the sum of its proper divisors (601767824).

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

390168688 is a wasteful number, since it uses less digits than its factorization.

390168688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 390168688 is about 19752.6881208609. The cubic root of 390168688 is about 730.7196805769.

The spelling of 390168688 in words is "three hundred ninety million, one hundred sixty-eight thousand, six hundred eighty-eight".