13811360 has 48 divisors (see below), whose sum is σ = 33525576. Its totient is φ = 5372928.

The previous prime is 13811359. The next prime is 13811387. The reversal of 13811360 is 6311831.

13811360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12475024 + 1336336 = 3532^2 + 1156^2 .

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, 4754 + ... + 7086.

Almost surely, 2^13811360 is an apocalyptic number.

13811360 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 13811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762788).

13811360 is an abundant number, since it is smaller than the sum of its proper divisors (19714216).

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

13811360 is a wasteful number, since it uses less digits than its factorization.

13811360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13811360 is about 3716.3638142679. The cubic root of 13811360 is about 239.9268295461.

The spelling of 13811360 in words is "thirteen million, eight hundred eleven thousand, three hundred sixty".