13586920 has 16 divisors (see below), whose sum is σ = 30570660. Its totient is φ = 5434752.

The previous prime is 13586917. The next prime is 13586939. The reversal of 13586920 is 2968531.

It can be written as a sum of positive squares in 2 ways, for example, as 13586596 + 324 = 3686^2 + 18^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169797 + ... + 169876.

Almost surely, 2^13586920 is an apocalyptic number.

13586920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13586920 is an abundant number, since it is smaller than the sum of its proper divisors (16983740).

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

13586920 is a wasteful number, since it uses less digits than its factorization.

13586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339684 (or 339680 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 13586920 is about 3686.0439498194. The cubic root of 13586920 is about 238.6200905058.

The spelling of 13586920 in words is "thirteen million, five hundred eighty-six thousand, nine hundred twenty".