12827568 has 80 divisors (see below), whose sum is σ = 36379616. Its totient is φ = 3870720.

The previous prime is 12827561. The next prime is 12827579. The reversal of 12827568 is 86572821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12827561) 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, 37896 + ... + 38232.

Almost surely, 2^12827568 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 12827568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18189808).

12827568 is an abundant number, since it is smaller than the sum of its proper divisors (23552048).

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

12827568 is a wasteful number, since it uses less digits than its factorization.

12827568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 12827568 is about 3581.5594368934. The cubic root of 12827568 is about 234.0892347224.

The spelling of 12827568 in words is "twelve million, eight hundred twenty-seven thousand, five hundred sixty-eight".