13538768 has 20 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 6753504.

The previous prime is 13538731. The next prime is 13538779. The reversal of 13538768 is 86783531.

13538768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9221 + ... + 10587.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^13538768 is an apocalyptic number.

It is an amenable number.

13538768 is a deficient number, since it is larger than the sum of its proper divisors (12754192).

13538768 is a wasteful number, since it uses less digits than its factorization.

13538768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1988 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 13538768 is about 3679.5064886476. The cubic root of 13538768 is about 238.3378672368.

The spelling of 13538768 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred sixty-eight".