13395888 has 80 divisors (see below), whose sum is σ = 41961600. Its totient is φ = 4057920.

The previous prime is 13395859. The next prime is 13395923. The reversal of 13395888 is 88859331.

13395888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3343 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (524520).

Almost surely, 2^13395888 is an apocalyptic number.

13395888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13395888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980800).

13395888 is an abundant number, since it is smaller than the sum of its proper divisors (28565712).

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

13395888 is a wasteful number, since it uses less digits than its factorization.

13395888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2835 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 13395888 is about 3660.0393440508. The cubic root of 13395888 is about 237.4964756633.

It can be divided in two parts, 1339 and 5888, that added together give a palindrome (7227).

The spelling of 13395888 in words is "thirteen million, three hundred ninety-five thousand, eight hundred eighty-eight".