13691160 has 128 divisors (see below), whose sum is σ = 52185600. Its totient is φ = 3127680.

The previous prime is 13691159. The next prime is 13691177. The reversal of 13691160 is 6119631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6655 + ... + 8465.

It is an arithmetic number, because the mean of its divisors is an integer number (407700).

Almost surely, 2^13691160 is an apocalyptic number.

13691160 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 13691160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092800).

13691160 is an abundant number, since it is smaller than the sum of its proper divisors (38494440).

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

13691160 is a wasteful number, since it uses less digits than its factorization.

13691160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13691160 is about 3700.1567534363. The cubic root of 13691160 is about 239.2287743672.

The spelling of 13691160 in words is "thirteen million, six hundred ninety-one thousand, one hundred sixty".