668000 has 48 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 265600.

The previous prime is 667999. The next prime is 668009. The reversal of 668000 is 866.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668009) 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 7 ways as a sum of consecutive naturals, for example, 3917 + ... + 4083.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁶⁶⁸⁰⁰⁰ 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 668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

668000 is an abundant number, since it is smaller than the sum of its proper divisors (983104).

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

668000 is a wasteful number, since it uses less digits than its factorization.

668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 668000 is about 817.3126696681. The cubic root of 668000 is about 87.4162463886.

Adding to 668000 its reverse (866), we get a palindrome (668866).

The spelling of 668000 in words is "six hundred sixty-eight thousand".