13116768 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 3694080.

The previous prime is 13116749. The next prime is 13116823. The reversal of 13116768 is 86761131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87958 + ... + 88106.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^13116768 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 13116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

13116768 is an abundant number, since it is smaller than the sum of its proper divisors (26800032).

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

13116768 is a wasteful number, since it uses less digits than its factorization.

13116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 13116768 is about 3621.7078844103. The cubic root of 13116768 is about 235.8353730742.

Adding to 13116768 its reverse (86761131), we get a palindrome (99877899).

The spelling of 13116768 in words is "thirteen million, one hundred sixteen thousand, seven hundred sixty-eight".