13627968 has 28 divisors (see below), whose sum is σ = 36057840. Its totient is φ = 4542592.

The previous prime is 13627963. The next prime is 13627969. The reversal of 13627968 is 86972631.

It is a happy number.

13627968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13627961) 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, 35298 + ... + 35681.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 2^13627968 is an apocalyptic number.

It is an amenable number.

13627968 is an abundant number, since it is smaller than the sum of its proper divisors (22429872).

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

13627968 is an equidigital number, since it uses as much as digits as its factorization.

13627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70994 (or 70984 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 13627968 is about 3691.6077798163. The cubic root of 13627968 is about 238.8601505561.

The spelling of 13627968 in words is "thirteen million, six hundred twenty-seven thousand, nine hundred sixty-eight".