12090564 has 72 divisors (see below), whose sum is σ = 32574360. Its totient is φ = 3773952.

The previous prime is 12090563. The next prime is 12090569. The reversal of 12090564 is 46509021.

12090564 is a `hidden beast` number, since 12 + 0 + 90 + 564 = 666.

12090564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 11168964 = 960^2 + 3342^2 .

It is not an unprimeable number, because it can be changed into a prime (12090563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38472 + ... + 38784.

Almost surely, 2^12090564 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 12090564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287180).

12090564 is an abundant number, since it is smaller than the sum of its proper divisors (20483796).

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

12090564 is a wasteful number, since it uses less digits than its factorization.

12090564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12090564 is about 3477.1488320174. The cubic root of 12090564 is about 229.5173495648.

Adding to 12090564 its reverse (46509021), we get a palindrome (58599585).

The spelling of 12090564 in words is "twelve million, ninety thousand, five hundred sixty-four".