668682 has 64 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 181440.

The previous prime is 668677. The next prime is 668687. The reversal of 668682 is 286866.

It is an interprime number because it is at equal distance from previous prime (668677) and next prime (668687).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (27648) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (668687) by changing a digit.

668682 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 10932 + ... + 10992.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁶⁶⁸⁶⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

668682 is an abundant number, since it is smaller than the sum of its proper divisors (1116918).

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

668682 is a wasteful number, since it uses less digits than its factorization.

668682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 668682 is about 817.7297842197. The cubic root of 668682 is about 87.4459857111.

The spelling of 668682 in words is "six hundred sixty-eight thousand, six hundred eighty-two".