12684564 has 18 divisors (see below), whose sum is σ = 32063850. Its totient is φ = 4228176.

The previous prime is 12684563. The next prime is 12684583. The reversal of 12684564 is 46548621.

12684564 is a `hidden beast` number, since 12 + 6 + 84 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11492100 + 1192464 = 3390^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 352349 = 12684564 / (1 + 2 + 6 + 8 + 4 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12684563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176139 + ... + 176210.

It is an arithmetic number, because the mean of its divisors is an integer number (1781325).

Almost surely, 2^12684564 is an apocalyptic number.

It is an amenable number.

12684564 is an abundant number, since it is smaller than the sum of its proper divisors (19379286).

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

12684564 is a wasteful number, since it uses less digits than its factorization.

12684564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352359 (or 352354 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 12684564 is about 3561.5395547431. The cubic root of 12684564 is about 233.2160925750.

It can be divided in two parts, 1268 and 4564, that added together give a cube (5832 = 18³).

The spelling of 12684564 in words is "twelve million, six hundred eighty-four thousand, five hundred sixty-four".