12306564 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3856512.

The previous prime is 12306563. The next prime is 12306571. The reversal of 12306564 is 46560321.

12306564 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 656 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12306563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73609 + ... + 73775.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^12306564 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 12306564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12306564 is an abundant number, since it is smaller than the sum of its proper divisors (20715516).

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

12306564 is a wasteful number, since it uses less digits than its factorization.

12306564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 12306564 is about 3508.0712649546. The cubic root of 12306564 is about 230.8760790335.

Adding to 12306564 its reverse (46560321), we get a palindrome (58866885).

The spelling of 12306564 in words is "twelve million, three hundred six thousand, five hundred sixty-four".