13726304 has 48 divisors (see below), whose sum is σ = 28377216. Its totient is φ = 6528000.

The previous prime is 13726301. The next prime is 13726333. The reversal of 13726304 is 40362731.

It is a super-2 number, since 2×13726304² = 376822843000832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13726301) 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, 100124 + ... + 100260.

It is an arithmetic number, because the mean of its divisors is an integer number (591192).

Almost surely, 2^13726304 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 13726304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188608).

13726304 is an abundant number, since it is smaller than the sum of its proper divisors (14650912).

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

13726304 is a wasteful number, since it uses less digits than its factorization.

13726304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 13726304 is about 3704.9026977776. The cubic root of 13726304 is about 239.4332925272.

The spelling of 13726304 in words is "thirteen million, seven hundred twenty-six thousand, three hundred four".