13664664 has 72 divisors (see below), whose sum is σ = 40109940. Its totient is φ = 4200768.

The previous prime is 13664657. The next prime is 13664711. The reversal of 13664664 is 46646631.

13664664 is a `hidden beast` number, since 1 + 3 + 6 + 646 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11607 + ... + 12729.

Almost surely, 2^13664664 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 13664664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054970).

13664664 is an abundant number, since it is smaller than the sum of its proper divisors (26445276).

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

13664664 is a wasteful number, since it uses less digits than its factorization.

13664664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1141 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 13664664 is about 3696.5746306547. The cubic root of 13664664 is about 239.0743511490.

The spelling of 13664664 in words is "thirteen million, six hundred sixty-four thousand, six hundred sixty-four".