12668616 has 64 divisors (see below), whose sum is σ = 35640000. Its totient is φ = 4169088.

The previous prime is 12668609. The next prime is 12668627. The reversal of 12668616 is 61686621.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 18895 + ... + 19553.

It is an arithmetic number, because the mean of its divisors is an integer number (556875).

Almost surely, 2^12668616 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 12668616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820000).

12668616 is an abundant number, since it is smaller than the sum of its proper divisors (22971384).

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

12668616 is a wasteful number, since it uses less digits than its factorization.

12668616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12668616 is about 3559.2999311662. The cubic root of 12668616 is about 233.1183125731.

The spelling of 12668616 in words is "twelve million, six hundred sixty-eight thousand, six hundred sixteen".