13793664 has 64 divisors (see below), whose sum is σ = 38813040. Its totient is φ = 4325376.

The previous prime is 13793653. The next prime is 13793683. The reversal of 13793664 is 46639731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5472 + ... + 7584.

Almost surely, 2^13793664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19406520).

13793664 is an abundant number, since it is smaller than the sum of its proper divisors (25019376).

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

13793664 is a wasteful number, since it uses less digits than its factorization.

13793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2135 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 13793664 is about 3713.9822293597. The cubic root of 13793664 is about 239.8243158720.

The spelling of 13793664 in words is "thirteen million, seven hundred ninety-three thousand, six hundred sixty-four".