13871160 has 96 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 3624192.

The previous prime is 13871153. The next prime is 13871173. The reversal of 13871160 is 6117831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18717 + ... + 19443.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 2^13871160 is an apocalyptic number.

13871160 is a gapful number since it is divisible by the number (10) 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 13871160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

13871160 is an abundant number, since it is smaller than the sum of its proper divisors (32123880).

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

13871160 is a wasteful number, since it uses less digits than its factorization.

13871160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13871160 is about 3724.4006229191. The cubic root of 13871160 is about 240.2726069056.

Adding to 13871160 its reverse (6117831), we get a palindrome (19988991).

The spelling of 13871160 in words is "thirteen million, eight hundred seventy-one thousand, one hundred sixty".