13000768 has 56 divisors (see below), whose sum is σ = 28712160. Its totient is φ = 5790720.

The previous prime is 13000753. The next prime is 13000781. The reversal of 13000768 is 86700031.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41380 + ... + 41692.

Almost surely, 2^13000768 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 13000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356080).

13000768 is an abundant number, since it is smaller than the sum of its proper divisors (15711392).

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

13000768 is a wasteful number, since it uses less digits than its factorization.

13000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13000768 is about 3605.6577763288. The cubic root of 13000768 is about 235.1380990015.

Adding to 13000768 its reverse (86700031), we get a palindrome (99700799).

The spelling of 13000768 in words is "thirteen million, seven hundred sixty-eight", and thus it is an aban number.