668882000 has 160 divisors (see below), whose sum is σ = 1738174464. Its totient is φ = 248064000.

The previous prime is 668881987. The next prime is 668882029. The reversal of 668882000 is 288866.

668882000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3501905 + ... + 3502095.

Almost surely, 2^668882000 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 668882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869087232).

668882000 is an abundant number, since it is smaller than the sum of its proper divisors (1069292464).

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

668882000 is a wasteful number, since it uses less digits than its factorization.

668882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 668882000 is about 25862.7531403754. The cubic root of 668882000 is about 874.5470308540.

It can be divided in two parts, 6688 and 82000, that added together give a palindrome (88688).

The spelling of 668882000 in words is "six hundred sixty-eight million, eight hundred eighty-two thousand".