13596960 has 96 divisors (see below), whose sum is σ = 46146240. Its totient is φ = 3345408.

The previous prime is 13596943. The next prime is 13596967. The reversal of 13596960 is 6969531.

Added to its reverse (6969531) it gives a triangular number (20566491 = T₆₄₁₃).

13596960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13596967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (480690).

Almost surely, 2^13596960 is an apocalyptic number.

13596960 is a gapful number since it is divisible by the number (10) 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 13596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073120).

13596960 is an abundant number, since it is smaller than the sum of its proper divisors (32549280).

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

13596960 is a wasteful number, since it uses less digits than its factorization.

13596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 13596960 is about 3687.4055920118. The cubic root of 13596960 is about 238.6788518204.

Adding to 13596960 its reverse (6969531), we get a triangular number (20566491 = T₆₄₁₃).

The spelling of 13596960 in words is "thirteen million, five hundred ninety-six thousand, nine hundred sixty".