13627664 has 20 divisors (see below), whose sum is σ = 26600604. Its totient is φ = 6763008.

The previous prime is 13627637. The next prime is 13627667. The reversal of 13627664 is 46672631.

13627664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 4579600 = 3008^2 + 2140^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13627667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917 + ... + 5300.

Almost surely, 2^13627664 is an apocalyptic number.

It is an amenable number.

13627664 is a deficient number, since it is larger than the sum of its proper divisors (12972940).

13627664 is a wasteful number, since it uses less digits than its factorization.

13627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6356 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 13627664 is about 3691.5666051150. The cubic root of 13627664 is about 238.8583744531.

The spelling of 13627664 in words is "thirteen million, six hundred twenty-seven thousand, six hundred sixty-four".