13296 has 20 divisors (see below), whose sum is σ = 34472. Its totient is φ = 4416.

The previous prime is 13291. The next prime is 13297. The reversal of 13296 is 69231.

13296 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13291) by changing a digit.

13296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 186.

2¹³²⁹⁶ is an apocalyptic number.

13296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13296 is an abundant number, since it is smaller than the sum of its proper divisors (21176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236).

13296 is a wasteful number, since it uses less digits than its factorization.

13296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 13296 is about 115.3082824432. The cubic root of 13296 is about 23.6904695609.

The spelling of 13296 in words is "thirteen thousand, two hundred ninety-six".