13506168 has 64 divisors (see below), whose sum is σ = 36923040. Its totient is φ = 4091904.

The previous prime is 13506161. The next prime is 13506187. The reversal of 13506168 is 86160531.

13506168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506161) 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, 22480 + ... + 23072.

Almost surely, 2^13506168 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 13506168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461520).

13506168 is an abundant number, since it is smaller than the sum of its proper divisors (23416872).

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

13506168 is a wasteful number, since it uses less digits than its factorization.

13506168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13506168 is about 3675.0738768085. The cubic root of 13506168 is about 238.1464155690.

Adding to 13506168 its reverse (86160531), we get a palindrome (99666699).

The spelling of 13506168 in words is "thirteen million, five hundred six thousand, one hundred sixty-eight".