668081000 has 128 divisors (see below), whose sum is σ = 1685698560. Its totient is φ = 247104000.

The previous prime is 668080999. The next prime is 668081003. The reversal of 668081000 is 180866.

668081000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×668081000² = 892664445122000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (668081003) 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, 712532 + ... + 713468.

It is an arithmetic number, because the mean of its divisors is an integer number (13169520).

Almost surely, 2^668081000 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 668081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842849280).

668081000 is an abundant number, since it is smaller than the sum of its proper divisors (1017617560).

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

668081000 is a wasteful number, since it uses less digits than its factorization.

668081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 668081000 is about 25847.2629111866. The cubic root of 668081000 is about 874.1977953716.

The spelling of 668081000 in words is "six hundred sixty-eight million, eighty-one thousand".