13264320 has 112 divisors (see below), whose sum is σ = 43269408. Its totient is φ = 3440640.

The previous prime is 13264297. The next prime is 13264327. The reversal of 13264320 is 2346231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39192 + ... + 39528.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 2^13264320 is an apocalyptic number.

13264320 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 13264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634704).

13264320 is an abundant number, since it is smaller than the sum of its proper divisors (30005088).

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

13264320 is a wasteful number, since it uses less digits than its factorization.

13264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13264320 is about 3642.0214167410. The cubic root of 13264320 is about 236.7163906190.

The spelling of 13264320 in words is "thirteen million, two hundred sixty-four thousand, three hundred twenty".