12945568 has 48 divisors (see below), whose sum is σ = 27556200. Its totient is φ = 5963776.

The previous prime is 12945563. The next prime is 12945577. The reversal of 12945568 is 86554921.

It can be written as a sum of positive squares in 4 ways, for example, as 12873744 + 71824 = 3588^2 + 268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12945568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12945563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28608 + ... + 29056.

Almost surely, 2^12945568 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 12945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778100).

12945568 is an abundant number, since it is smaller than the sum of its proper divisors (14610632).

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

12945568 is a wasteful number, since it uses less digits than its factorization.

12945568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 12945568 is about 3597.9949972172. The cubic root of 12945568 is about 234.8048357001.

The spelling of 12945568 in words is "twelve million, nine hundred forty-five thousand, five hundred sixty-eight".