13344640 has 64 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 5146624.

The previous prime is 13344637. The next prime is 13344641. The reversal of 13344640 is 4644331.

It is a happy number.

13344640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18201 + ... + 18919.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^13344640 is an apocalyptic number.

13344640 is a gapful number since it is divisible by the number (10) 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 13344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

13344640 is an abundant number, since it is smaller than the sum of its proper divisors (19703360).

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

13344640 is an equidigital number, since it uses as much as digits as its factorization.

13344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 13344640 is about 3653.0316177115. The cubic root of 13344640 is about 237.1932290400.

Adding to 13344640 its reverse (4644331), we get a palindrome (17988971).

The spelling of 13344640 in words is "thirteen million, three hundred forty-four thousand, six hundred forty".