13226304 has 112 divisors (see below), whose sum is σ = 43127168. Its totient is φ = 3483648.

The previous prime is 13226303. The next prime is 13226329. The reversal of 13226304 is 40362231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13226303) 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, 17094 + ... + 17850.

It is an arithmetic number, because the mean of its divisors is an integer number (385064).

Almost surely, 2^13226304 is an apocalyptic number.

13226304 is a gapful number since it is divisible by the number (14) 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 13226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563584).

13226304 is an abundant number, since it is smaller than the sum of its proper divisors (29900864).

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

13226304 is a wasteful number, since it uses less digits than its factorization.

13226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

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

The square root of 13226304 is about 3636.7985921687. The cubic root of 13226304 is about 236.4900284389.

Adding to 13226304 its reverse (40362231), we get a palindrome (53588535).

It can be divided in two parts, 13226 and 304, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 13226304 in words is "thirteen million, two hundred twenty-six thousand, three hundred four".