12568320 has 108 divisors (see below), whose sum is σ = 43524936. Its totient is φ = 3348480.

The previous prime is 12568319. The next prime is 12568331. The reversal of 12568320 is 2386521.

12568320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10975 + ... + 12065.

Almost surely, 2^12568320 is an apocalyptic number.

12568320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762468).

12568320 is an abundant number, since it is smaller than the sum of its proper divisors (30956616).

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

12568320 is a wasteful number, since it uses less digits than its factorization.

12568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12568320 is about 3545.1826469168. The cubic root of 12568320 is about 232.5014914923.

The spelling of 12568320 in words is "twelve million, five hundred sixty-eight thousand, three hundred twenty".