12803568 has 80 divisors (see below), whose sum is σ = 35414400. Its totient is φ = 3974400.

The previous prime is 12803561. The next prime is 12803569. The reversal of 12803568 is 86530821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92043 + ... + 92181.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^12803568 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 12803568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707200).

12803568 is an abundant number, since it is smaller than the sum of its proper divisors (22610832).

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

12803568 is a wasteful number, since it uses less digits than its factorization.

12803568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12803568 is about 3578.2073724143. The cubic root of 12803568 is about 233.9431522363.

The spelling of 12803568 in words is "twelve million, eight hundred three thousand, five hundred sixty-eight".