13763664 has 30 divisors (see below), whose sum is σ = 38519546. Its totient is φ = 4587840.

The previous prime is 13763653. The next prime is 13763669. The reversal of 13763664 is 46636731.

It is a happy number.

13763664 is a `hidden beast` number, since 13 + 7 + 636 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13749264 + 14400 = 3708^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13763669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47647 + ... + 47934.

Almost surely, 2^13763664 is an apocalyptic number.

It is an amenable number.

13763664 is an abundant number, since it is smaller than the sum of its proper divisors (24755882).

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

13763664 is a wasteful number, since it uses less digits than its factorization.

13763664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95595 (or 95586 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 13763664 is about 3709.9412394268. The cubic root of 13763664 is about 239.6503241090.

The spelling of 13763664 in words is "thirteen million, seven hundred sixty-three thousand, six hundred sixty-four".