13589688 has 64 divisors (see below), whose sum is σ = 40527360. Its totient is φ = 3712896.

The previous prime is 13589683. The next prime is 13589689. The reversal of 13589688 is 88698531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13589683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106 + ... + 5622.

It is an arithmetic number, because the mean of its divisors is an integer number (633240).

Almost surely, 2^13589688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13589688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263680).

13589688 is an abundant number, since it is smaller than the sum of its proper divisors (26937672).

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

13589688 is a wasteful number, since it uses less digits than its factorization.

13589688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3552 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 13589688 is about 3686.4194009906. The cubic root of 13589688 is about 238.6362937258.

The spelling of 13589688 in words is "thirteen million, five hundred eighty-nine thousand, six hundred eighty-eight".