13965168 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3936768.

The previous prime is 13965151. The next prime is 13965179. The reversal of 13965168 is 86156931.

13965168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3737²-1.

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, 29671 + ... + 30137.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^13965168 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 13965168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

13965168 is an abundant number, since it is smaller than the sum of its proper divisors (27817872).

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

13965168 is a wasteful number, since it uses less digits than its factorization.

13965168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 13965168 is about 3736.9998662028. Note that the first 3 decimals coincide. The cubic root of 13965168 is about 240.8141792882.

The spelling of 13965168 in words is "thirteen million, nine hundred sixty-five thousand, one hundred sixty-eight".