668566000 has 80 divisors (see below), whose sum is σ = 1672482240. Its totient is φ = 258182400.

The previous prime is 668565991. The next prime is 668566007. The reversal of 668566000 is 665866.

668566000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668566007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52237 + ... + 63763.

It is an arithmetic number, because the mean of its divisors is an integer number (20906028).

Almost surely, 2^668566000 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 668566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836241120).

668566000 is an abundant number, since it is smaller than the sum of its proper divisors (1003916240).

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

668566000 is a wasteful number, since it uses less digits than its factorization.

668566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11579 (or 11563 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 668566000 is about 25856.6432469491. The cubic root of 668566000 is about 874.4092883757.

The spelling of 668566000 in words is "six hundred sixty-eight million, five hundred sixty-six thousand".