13682604 has 48 divisors (see below), whose sum is σ = 34684160. Its totient is φ = 4173120.

The previous prime is 13682587. The next prime is 13682621. The reversal of 13682604 is 40628631.

13682604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13682587) and next prime (13682621).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21369 + ... + 21999.

Almost surely, 2^13682604 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 13682604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342080).

13682604 is an abundant number, since it is smaller than the sum of its proper divisors (21001556).

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

13682604 is a wasteful number, since it uses less digits than its factorization.

13682604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13682604 is about 3699.0004055150. Note that the first 3 decimals coincide. The cubic root of 13682604 is about 239.1789303336.

The spelling of 13682604 in words is "thirteen million, six hundred eighty-two thousand, six hundred four".