13395168 has 36 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 4464960.

The previous prime is 13395163. The next prime is 13395169. The reversal of 13395168 is 86159331.

It is a happy number.

13395168 is a `hidden beast` number, since 133 + 9 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22968 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 2^13395168 is an apocalyptic number.

13395168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13395168 is an abundant number, since it is smaller than the sum of its proper divisors (24698160).

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

13395168 is a wasteful number, since it uses less digits than its factorization.

13395168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46527 (or 46516 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13395168 is about 3659.9409831307. The cubic root of 13395168 is about 237.4922206131.

The spelling of 13395168 in words is "thirteen million, three hundred ninety-five thousand, one hundred sixty-eight".