13681368 has 96 divisors (see below), whose sum is σ = 39826800. Its totient is φ = 4230144.

The previous prime is 13681363. The next prime is 13681397. The reversal of 13681368 is 86318631.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 (13681361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99796 + ... + 99932.

Almost surely, 2^13681368 is an apocalyptic number.

13681368 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 13681368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19913400).

13681368 is an abundant number, since it is smaller than the sum of its proper divisors (26145432).

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

13681368 is a wasteful number, since it uses less digits than its factorization.

13681368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13681368 is about 3698.8333295784. The cubic root of 13681368 is about 239.1717281456.

Adding to 13681368 its reverse (86318631), we get a palindrome (99999999).

The spelling of 13681368 in words is "thirteen million, six hundred eighty-one thousand, three hundred sixty-eight".