13908664 has 64 divisors (see below), whose sum is σ = 33096960. Its totient is φ = 5322240.

The previous prime is 13908641. The next prime is 13908667. The reversal of 13908664 is 46680931.

13908664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13908667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41104 + ... + 41440.

It is an arithmetic number, because the mean of its divisors is an integer number (517140).

Almost surely, 2^13908664 is an apocalyptic number.

13908664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13908664 is the 2359-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13908664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548480).

13908664 is an abundant number, since it is smaller than the sum of its proper divisors (19188296).

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

13908664 is a wasteful number, since it uses less digits than its factorization.

13908664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 13908664 is about 3729.4321283541. The cubic root of 13908664 is about 240.4889568655.

The spelling of 13908664 in words is "thirteen million, nine hundred eight thousand, six hundred sixty-four".