13581888 has 56 divisors (see below), whose sum is σ = 36283392. Its totient is φ = 4483584.

The previous prime is 13581863. The next prime is 13581899. The reversal of 13581888 is 88818531.

13581888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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, 24106 + ... + 24662.

Almost surely, 2^13581888 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 13581888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141696).

13581888 is an abundant number, since it is smaller than the sum of its proper divisors (22701504).

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

13581888 is a wasteful number, since it uses less digits than its factorization.

13581888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its digits is 61440, while the sum is 42.

The square root of 13581888 is about 3685.3613120019. The cubic root of 13581888 is about 238.5906287254.

The spelling of 13581888 in words is "thirteen million, five hundred eighty-one thousand, eight hundred eighty-eight".