13262304 has 96 divisors (see below), whose sum is σ = 40037760. Its totient is φ = 3801600.

The previous prime is 13262299. The next prime is 13262339. The reversal of 13262304 is 40326231.

It is a happy number.

13262304 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19734 + ... + 20394.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 2^13262304 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 13262304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018880).

13262304 is an abundant number, since it is smaller than the sum of its proper divisors (26775456).

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

13262304 is a wasteful number, since it uses less digits than its factorization.

13262304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

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

The square root of 13262304 is about 3641.7446368465. The cubic root of 13262304 is about 236.7043974317.

Adding to 13262304 its reverse (40326231), we get a palindrome (53588535).

The spelling of 13262304 in words is "thirteen million, two hundred sixty-two thousand, three hundred four".