8668 has 12 divisors (see below), whose sum is σ = 16632. Its totient is φ = 3920.

The previous prime is 8663. The next prime is 8669.

8668 is nontrivially palindromic in base 10.

8668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

8668 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an Ulam number.

8668 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8663) 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 3 ways as a sum of consecutive naturals, for example, 55 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

It is an amenable number.

8668 is a deficient number, since it is larger than the sum of its proper divisors (7964).

8668 is a wasteful number, since it uses less digits than its factorization.

8668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

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

The square root of 8668 is about 93.1020944985. The cubic root of 8668 is about 20.5418538129.

It can be divided in two parts, 8 and 668, that added together give a palindrome (676).

The spelling of 8668 in words is "eight thousand, six hundred sixty-eight".