668086890 has 64 divisors (see below), whose sum is σ = 1662888960. Its totient is φ = 171601920.

The previous prime is 668086877. The next prime is 668086901. The reversal of 668086890 is 98680866.

668086890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211402 + ... + 214538.

It is an arithmetic number, because the mean of its divisors is an integer number (25982640).

Almost surely, 2^668086890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668086890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831444480).

668086890 is an abundant number, since it is smaller than the sum of its proper divisors (994802070).

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

668086890 is a wasteful number, since it uses less digits than its factorization.

668086890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407.

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 668086890 is about 25847.3768494987. The cubic root of 668086890 is about 874.2003644262.

The spelling of 668086890 in words is "six hundred sixty-eight million, eighty-six thousand, eight hundred ninety".