13826304 has 108 divisors (see below), whose sum is σ = 42329196. Its totient is φ = 4325376.

The previous prime is 13826303. The next prime is 13826311. The reversal of 13826304 is 40362831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 5531904 = 2880^2 + 2352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38992 + ... + 39344.

It is an arithmetic number, because the mean of its divisors is an integer number (391937).

Almost surely, 2^13826304 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 13826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21164598).

13826304 is an abundant number, since it is smaller than the sum of its proper divisors (28502892).

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

13826304 is a wasteful number, since it uses less digits than its factorization.

13826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13826304 is about 3718.3738381179. The cubic root of 13826304 is about 240.0133325927.

The spelling of 13826304 in words is "thirteen million, eight hundred twenty-six thousand, three hundred four".