13841664 has 72 divisors (see below), whose sum is σ = 37527840. Its totient is φ = 4528128.

The previous prime is 13841651. The next prime is 13841683. The reversal of 13841664 is 46614831.

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 7 ways as a sum of consecutive naturals, for example, 51322 + ... + 51590.

It is an arithmetic number, because the mean of its divisors is an integer number (521220).

Almost surely, 2^13841664 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 13841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763920).

13841664 is an abundant number, since it is smaller than the sum of its proper divisors (23686176).

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

13841664 is an equidigital number, since it uses as much as digits as its factorization.

13841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 13841664 is about 3720.4386838114. The cubic root of 13841664 is about 240.1021787140.

The spelling of 13841664 in words is "thirteen million, eight hundred forty-one thousand, six hundred sixty-four".