13682688 has 96 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 4259840.

The previous prime is 13682663. The next prime is 13682689. The reversal of 13682688 is 88628631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104383 + ... + 104513.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 2^13682688 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 13682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

13682688 is an abundant number, since it is smaller than the sum of its proper divisors (25236192).

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

13682688 is a wasteful number, since it uses less digits than its factorization.

13682688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 13682688 is about 3699.0117599164. The cubic root of 13682688 is about 239.1794197869.

The spelling of 13682688 in words is "thirteen million, six hundred eighty-two thousand, six hundred eighty-eight".