13585856 has 28 divisors (see below), whose sum is σ = 28547568. Its totient is φ = 6392832.

The previous prime is 13585853. The next prime is 13585889. The reversal of 13585856 is 65858531.

13585856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5156 + ... + 7331.

It is an arithmetic number, because the mean of its divisors is an integer number (1019556).

Almost surely, 2^13585856 is an apocalyptic number.

13585856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13585856 is an abundant number, since it is smaller than the sum of its proper divisors (14961712).

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

13585856 is a wasteful number, since it uses less digits than its factorization.

13585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516 (or 12506 counting only the distinct ones).

The product of its digits is 144000, while the sum is 41.

The square root of 13585856 is about 3685.8996188176. The cubic root of 13585856 is about 238.6138615149.

It can be divided in two parts, 13585 and 856, that added together give a palindrome (14441).

The spelling of 13585856 in words is "thirteen million, five hundred eighty-five thousand, eight hundred fifty-six".