12642168 has 64 divisors (see below), whose sum is σ = 39409920. Its totient is φ = 3283200.

The previous prime is 12642139. The next prime is 12642181. The reversal of 12642168 is 86124621.

12642168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (615780).

Almost surely, 2^12642168 is an apocalyptic number.

It is an amenable number.

12642168 is an abundant number, since it is smaller than the sum of its proper divisors (26767752).

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

12642168 is a wasteful number, since it uses less digits than its factorization.

12642168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6864 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 12642168 is about 3555.5826526745. The cubic root of 12642168 is about 232.9559741705.

Adding to 12642168 its reverse (86124621), we get a palindrome (98766789).

The spelling of 12642168 in words is "twelve million, six hundred forty-two thousand, one hundred sixty-eight".