13085688 has 128 divisors (see below), whose sum is σ = 41771520. Its totient is φ = 3317760.

The previous prime is 13085687. The next prime is 13085701. The reversal of 13085688 is 88658031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134856 + ... + 134952.

It is an arithmetic number, because the mean of its divisors is an integer number (326340).

Almost surely, 2^13085688 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 13085688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885760).

13085688 is an abundant number, since it is smaller than the sum of its proper divisors (28685832).

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

13085688 is a wasteful number, since it uses less digits than its factorization.

13085688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 13085688 is about 3617.4145463300. The cubic root of 13085688 is about 235.6489562098.

It can be divided in two parts, 1308 and 5688, that added together give a palindrome (6996).

The spelling of 13085688 in words is "thirteen million, eighty-five thousand, six hundred eighty-eight".