13585616 has 20 divisors (see below), whose sum is σ = 28715424. Its totient is φ = 6175200.

The previous prime is 13585613. The next prime is 13585631. The reversal of 13585616 is 61658531.

13585616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585613) 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, 38420 + ... + 38771.

Almost surely, 2^13585616 is an apocalyptic number.

13585616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13585616 is an abundant number, since it is smaller than the sum of its proper divisors (15129808).

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

13585616 is a wasteful number, since it uses less digits than its factorization.

13585616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77210 (or 77204 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 13585616 is about 3685.8670621714. The cubic root of 13585616 is about 238.6124564344.

The spelling of 13585616 in words is "thirteen million, five hundred eighty-five thousand, six hundred sixteen".