13995168 has 96 divisors (see below), whose sum is σ = 41549760. Its totient is φ = 4085760.

The previous prime is 13995151. The next prime is 13995173. The reversal of 13995168 is 86159931.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 30396 + ... + 30852.

It is an arithmetic number, because the mean of its divisors is an integer number (432810).

Almost surely, 2^13995168 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 13995168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774880).

13995168 is an abundant number, since it is smaller than the sum of its proper divisors (27554592).

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

13995168 is a wasteful number, since it uses less digits than its factorization.

13995168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 13995168 is about 3741.0116278889. The cubic root of 13995168 is about 240.9864951140.

The spelling of 13995168 in words is "thirteen million, nine hundred ninety-five thousand, one hundred sixty-eight".