13107768 has 64 divisors (see below), whose sum is σ = 34884000. Its totient is φ = 4096512.

The previous prime is 13107767. The next prime is 13107793. The reversal of 13107768 is 86770131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25498 + ... + 26006.

Almost surely, 2^13107768 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 13107768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442000).

13107768 is an abundant number, since it is smaller than the sum of its proper divisors (21776232).

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

13107768 is a wasteful number, since it uses less digits than its factorization.

13107768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 13107768 is about 3620.4651634838. The cubic root of 13107768 is about 235.7814216742.

Adding to 13107768 its reverse (86770131), we get a palindrome (99877899).

The spelling of 13107768 in words is "thirteen million, one hundred seven thousand, seven hundred sixty-eight".