13536768 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3864576.

The previous prime is 13536763. The next prime is 13536773. The reversal of 13536768 is 86763531.

It is an interprime number because it is at equal distance from previous prime (13536763) and next prime (13536773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13536763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10123 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^13536768 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 13536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

13536768 is an abundant number, since it is smaller than the sum of its proper divisors (27710592).

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

13536768 is an equidigital number, since it uses as much as digits as its factorization.

13536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1271 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 13536768 is about 3679.2347030327. The cubic root of 13536768 is about 238.3261305901.

The spelling of 13536768 in words is "thirteen million, five hundred thirty-six thousand, seven hundred sixty-eight".