12864064 has 56 divisors (see below), whose sum is σ = 27432000. Its totient is φ = 5967360.

The previous prime is 12864031. The next prime is 12864077. The reversal of 12864064 is 46046821.

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, 86262 + ... + 86410.

Almost surely, 2^12864064 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 12864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716000).

12864064 is an abundant number, since it is smaller than the sum of its proper divisors (14567936).

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

12864064 is a wasteful number, since it uses less digits than its factorization.

12864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 12864064 is about 3586.6508054172. The cubic root of 12864064 is about 234.3110286802.

The spelling of 12864064 in words is "twelve million, eight hundred sixty-four thousand, sixty-four".