13481160 has 128 divisors (see below), whose sum is σ = 50457600. Its totient is φ = 2799360.

The previous prime is 13481141. The next prime is 13481161. The reversal of 13481160 is 6118431.

13481160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13481160.

It is not an unprimeable number, because it can be changed into a prime (13481161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8511 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (394200).

Almost surely, 2^13481160 is an apocalyptic number.

13481160 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 13481160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228800).

13481160 is an abundant number, since it is smaller than the sum of its proper divisors (36976440).

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

13481160 is a wasteful number, since it uses less digits than its factorization.

13481160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13481160 is about 3671.6699198049. The cubic root of 13481160 is about 237.9993409110. Note that the first 3 decimals are identical.

Adding to 13481160 its reverse (6118431), we get a palindrome (19599591).

The spelling of 13481160 in words is "thirteen million, four hundred eighty-one thousand, one hundred sixty".