13623168 has 64 divisors (see below), whose sum is σ = 38984400. Its totient is φ = 4190208.

The previous prime is 13623149. The next prime is 13623179. The reversal of 13623168 is 86132631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3628 + ... + 6356.

Almost surely, 2^13623168 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 13623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492200).

13623168 is an abundant number, since it is smaller than the sum of its proper divisors (25361232).

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

13623168 is a wasteful number, since it uses less digits than its factorization.

13623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2747 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13623168 is about 3690.9575993230. The cubic root of 13623168 is about 238.8321037395.

Adding to 13623168 its reverse (86132631), we get a palindrome (99755799).

The spelling of 13623168 in words is "thirteen million, six hundred twenty-three thousand, one hundred sixty-eight".