13605368 has 48 divisors (see below), whose sum is σ = 30815280. Its totient is φ = 5515776.

The previous prime is 13605367. The next prime is 13605391. The reversal of 13605368 is 86350631.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19880 + ... + 20552.

It is an arithmetic number, because the mean of its divisors is an integer number (641985).

Almost surely, 2^13605368 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 13605368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407640).

13605368 is an abundant number, since it is smaller than the sum of its proper divisors (17209912).

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

13605368 is a wasteful number, since it uses less digits than its factorization.

13605368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 13605368 is about 3688.5455128004. The cubic root of 13605368 is about 238.7280392436.

Adding to 13605368 its reverse (86350631), we get a palindrome (99955999).

The spelling of 13605368 in words is "thirteen million, six hundred five thousand, three hundred sixty-eight".