13421664 has 72 divisors (see below), whose sum is σ = 39508560. Its totient is φ = 4316928.

The previous prime is 13421651. The next prime is 13421671. The reversal of 13421664 is 46612431.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7549 + ... + 9155.

It is an arithmetic number, because the mean of its divisors is an integer number (548730).

Almost surely, 2^13421664 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 13421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754280).

13421664 is an abundant number, since it is smaller than the sum of its proper divisors (26086896).

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

13421664 is a wasteful number, since it uses less digits than its factorization.

13421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1641 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13421664 is about 3663.5589254167. The cubic root of 13421664 is about 237.6487061323.

The spelling of 13421664 in words is "thirteen million, four hundred twenty-one thousand, six hundred sixty-four".