13596 has 24 divisors (see below), whose sum is σ = 34944. Its totient is φ = 4080.

The previous prime is 13591. The next prime is 13597. The reversal of 13596 is 69531.

13596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13591) by changing a digit.

13596 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

2¹³⁵⁹⁶ 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 13596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472).

13596 is an abundant number, since it is smaller than the sum of its proper divisors (21348).

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

13596 is a wasteful number, since it uses less digits than its factorization.

13596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 13596 is about 116.6018867772. The cubic root of 13596 is about 23.8673234460.

It can be divided in two parts, 135 and 96, that added together give a triangular number (231 = T₂₁).

The spelling of 13596 in words is "thirteen thousand, five hundred ninety-six".