13586960 has 20 divisors (see below), whose sum is σ = 31589868. Its totient is φ = 5434752.

The previous prime is 13586941. The next prime is 13586977. The reversal of 13586960 is 6968531.

It can be written as a sum of positive squares in 2 ways, for example, as 3952144 + 9634816 = 1988^2 + 3104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84839 + ... + 84998.

Almost surely, 2^13586960 is an apocalyptic number.

13586960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13586960 is an abundant number, since it is smaller than the sum of its proper divisors (18002908).

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

13586960 is a wasteful number, since it uses less digits than its factorization.

13586960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169850 (or 169844 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 13586960 is about 3686.0493756867. The cubic root of 13586960 is about 238.6203246720.

The spelling of 13586960 in words is "thirteen million, five hundred eighty-six thousand, nine hundred sixty".