13726336 has 64 divisors (see below), whose sum is σ = 30116520. Its totient is φ = 6193152.

The previous prime is 13726333. The next prime is 13726351. The reversal of 13726336 is 63362731.

It can be written as a sum of positive squares in 4 ways, for example, as 5569600 + 8156736 = 2360^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13726298 and 13726307.

It is not an unprimeable number, because it can be changed into a prime (13726333) 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, 121416 + ... + 121528.

Almost surely, 2^13726336 is an apocalyptic number.

13726336 is a gapful number since it is divisible by the number (16) 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 13726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058260).

13726336 is an abundant number, since it is smaller than the sum of its proper divisors (16390184).

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

13726336 is a wasteful number, since it uses less digits than its factorization.

13726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its digits is 13608, while the sum is 31.

The square root of 13726336 is about 3704.9070163771. The cubic root of 13726336 is about 239.4334785899.

The spelling of 13726336 in words is "thirteen million, seven hundred twenty-six thousand, three hundred thirty-six".