13236768 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 4008960.

The previous prime is 13236767. The next prime is 13236779. The reversal of 13236768 is 86763231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (13236763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224323 + ... + 224381.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^13236768 is an apocalyptic number.

13236768 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 13236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

13236768 is an abundant number, since it is smaller than the sum of its proper divisors (28040832).

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

13236768 is a wasteful number, since it uses less digits than its factorization.

13236768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13236768 is about 3638.2369356599. The cubic root of 13236768 is about 236.5523784182.

Adding to 13236768 its reverse (86763231), we get a palindrome (99999999).

The spelling of 13236768 in words is "thirteen million, two hundred thirty-six thousand, seven hundred sixty-eight".