13505688 has 96 divisors (see below), whose sum is σ = 42332160. Its totient is φ = 3810240.

The previous prime is 13505671. The next prime is 13505717. The reversal of 13505688 is 88650531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63903 + ... + 64113.

It is an arithmetic number, because the mean of its divisors is an integer number (440960).

Almost surely, 2^13505688 is an apocalyptic number.

13505688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21166080).

13505688 is an abundant number, since it is smaller than the sum of its proper divisors (28826472).

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

13505688 is a wasteful number, since it uses less digits than its factorization.

13505688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 13505688 is about 3675.0085714186. The cubic root of 13505688 is about 238.1435943485.

The spelling of 13505688 in words is "thirteen million, five hundred five thousand, six hundred eighty-eight".