13692768 has 48 divisors (see below), whose sum is σ = 37840320. Its totient is φ = 4323456.

The previous prime is 13692761. The next prime is 13692773. The reversal of 13692768 is 86729631.

It is a happy number.

13692768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13692761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930 + ... + 5577.

It is an arithmetic number, because the mean of its divisors is an integer number (788340).

Almost surely, 2^13692768 is an apocalyptic number.

It is an amenable number.

13692768 is an abundant number, since it is smaller than the sum of its proper divisors (24147552).

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

13692768 is a wasteful number, since it uses less digits than its factorization.

13692768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7531 counting only the distinct ones).

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

The square root of 13692768 is about 3700.3740351483. The cubic root of 13692768 is about 239.2381396513.

The spelling of 13692768 in words is "thirteen million, six hundred ninety-two thousand, seven hundred sixty-eight".