13901664 has 96 divisors (see below), whose sum is σ = 42287616. Its totient is φ = 3916800.

The previous prime is 13901663. The next prime is 13901681. The reversal of 13901664 is 46610931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) 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 (13901663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91989 + ... + 92139.

It is an arithmetic number, because the mean of its divisors is an integer number (440496).

Almost surely, 2^13901664 is an apocalyptic number.

13901664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808).

13901664 is an abundant number, since it is smaller than the sum of its proper divisors (28385952).

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

13901664 is a wasteful number, since it uses less digits than its factorization.

13901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13901664 is about 3728.4935295639. The cubic root of 13901664 is about 240.4486053937.

The spelling of 13901664 in words is "thirteen million, nine hundred one thousand, six hundred sixty-four".