13263768 has 48 divisors (see below), whose sum is σ = 41056080. Its totient is φ = 3789504.

The previous prime is 13263763. The next prime is 13263773. The reversal of 13263768 is 86736231.

It is a happy number.

13263768 is a `hidden beast` number, since 13 + 2 + 637 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13263763) and next prime (13263773).

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 (13263763) 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 11 ways as a sum of consecutive naturals, for example, 12655 + ... + 13662.

It is an arithmetic number, because the mean of its divisors is an integer number (855335).

Almost surely, 2^13263768 is an apocalyptic number.

13263768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13263768 is an abundant number, since it is smaller than the sum of its proper divisors (27792312).

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

13263768 is a wasteful number, since it uses less digits than its factorization.

13263768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26336 (or 26329 counting only the distinct ones).

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

The square root of 13263768 is about 3641.9456338611. The cubic root of 13263768 is about 236.7131068909.

Adding to 13263768 its reverse (86736231), we get a palindrome (99999999).

The spelling of 13263768 in words is "thirteen million, two hundred sixty-three thousand, seven hundred sixty-eight".