13586240 has 28 divisors (see below), whose sum is σ = 32352996. Its totient is φ = 5434368.

The previous prime is 13586233. The next prime is 13586257. The reversal of 13586240 is 4268531.

13586240 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 2 ways, for example, as 9193024 + 4393216 = 3032^2 + 2096^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 20909 + ... + 21548.

Almost surely, 2^13586240 is an apocalyptic number.

13586240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13586240 is an abundant number, since it is smaller than the sum of its proper divisors (18766756).

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

13586240 is an equidigital number, since it uses as much as digits as its factorization.

13586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42474 (or 42464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 13586240 is about 3685.9517088535. The cubic root of 13586240 is about 238.6161096093.

The spelling of 13586240 in words is "thirteen million, five hundred eighty-six thousand, two hundred forty".