13344864 has 144 divisors (see below), whose sum is σ = 41157648. Its totient is φ = 3760128.

The previous prime is 13344829. The next prime is 13344871. The reversal of 13344864 is 46844331.

It is a happy number.

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

Its product of digits (27648) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360654 + ... + 360690.

It is an arithmetic number, because the mean of its divisors is an integer number (285817).

Almost surely, 2^13344864 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 13344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578824).

13344864 is an abundant number, since it is smaller than the sum of its proper divisors (27812784).

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

13344864 is a wasteful number, since it uses less digits than its factorization.

13344864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 13344864 is about 3653.0622770492. The cubic root of 13344864 is about 237.1945561893.

The spelling of 13344864 in words is "thirteen million, three hundred forty-four thousand, eight hundred sixty-four".