13581168 has 80 divisors (see below), whose sum is σ = 36830976. Its totient is φ = 4308480.

The previous prime is 13581149. The next prime is 13581173. The reversal of 13581168 is 86118531.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131805 + ... + 131907.

Almost surely, 2^13581168 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 13581168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488).

13581168 is an abundant number, since it is smaller than the sum of its proper divisors (23249808).

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

13581168 is a wasteful number, since it uses less digits than its factorization.

13581168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 13581168 is about 3685.2636269336. The cubic root of 13581168 is about 238.5864126133.

Adding to 13581168 its reverse (86118531), we get a palindrome (99699699).

The spelling of 13581168 in words is "thirteen million, five hundred eighty-one thousand, one hundred sixty-eight".