668800 has 96 divisors (see below), whose sum is σ = 1897200. Its totient is φ = 230400.

The previous prime is 668791. The next prime is 668803. The reversal of 668800 is 8866.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (668803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35191 + ... + 35209.

2⁶⁶⁸⁸⁰⁰ 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 668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948600).

668800 is an abundant number, since it is smaller than the sum of its proper divisors (1228400).

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

668800 is a wasteful number, since it uses less digits than its factorization.

668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 668800 is about 817.8019320104. The cubic root of 668800 is about 87.4511291721.

The spelling of 668800 in words is "six hundred sixty-eight thousand, eight hundred".