668200 has 48 divisors (see below), whose sum is σ = 1679580. Its totient is φ = 245760.

The previous prime is 668179. The next prime is 668201. The reversal of 668200 is 2866.

It can be written as a sum of positive squares in 6 ways, for example, as 329476 + 338724 = 574^2 + 582^2 .

It is not an unprimeable number, because it can be changed into a prime (668201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2472 + ... + 2728.

2⁶⁶⁸²⁰⁰ 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 668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839790).

668200 is an abundant number, since it is smaller than the sum of its proper divisors (1011380).

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

668200 is a wasteful number, since it uses less digits than its factorization.

668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 668200 is about 817.4350127074. The cubic root of 668200 is about 87.4249696943.

It can be divided in two parts, 668 and 200, that added together give a palindrome (868).

The spelling of 668200 in words is "six hundred sixty-eight thousand, two hundred".