13682304 has 128 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 4396032.

The previous prime is 13682281. The next prime is 13682323. The reversal of 13682304 is 40328631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 127819 + ... + 127925.

Almost surely, 2^13682304 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 13682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

13682304 is an abundant number, since it is smaller than the sum of its proper divisors (28178496).

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

13682304 is a wasteful number, since it uses less digits than its factorization.

13682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13682304 is about 3698.9598537967. The cubic root of 13682304 is about 239.1771822696.

The spelling of 13682304 in words is "thirteen million, six hundred eighty-two thousand, three hundred four".