13696164 has 36 divisors (see below), whose sum is σ = 34886124. Its totient is φ = 4530432.

The previous prime is 13696159. The next prime is 13696211. The reversal of 13696164 is 46169631.

13696164 is a `hidden beast` number, since 1 + 36 + 9 + 616 + 4 = 666.

13696164 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 4875264 + 8820900 = 2208^2 + 2970^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 3544 + ... + 6320.

It is an arithmetic number, because the mean of its divisors is an integer number (969059).

Almost surely, 2^13696164 is an apocalyptic number.

It is an amenable number.

13696164 is an abundant number, since it is smaller than the sum of its proper divisors (21189960).

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

13696164 is a wasteful number, since it uses less digits than its factorization.

13696164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2919 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13696164 is about 3700.8328792314. The cubic root of 13696164 is about 239.2579161632.

The spelling of 13696164 in words is "thirteen million, six hundred ninety-six thousand, one hundred sixty-four".