12564360 has 96 divisors (see below), whose sum is σ = 43257240. Its totient is φ = 3151872.

The previous prime is 12564347. The next prime is 12564389. The reversal of 12564360 is 6346521.

12564360 is a `hidden beast` number, since 12 + 5 + 643 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11410884 + 1153476 = 3378^2 + 1074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5094 + ... + 7146.

Almost surely, 2^12564360 is an apocalyptic number.

12564360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12564360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628620).

12564360 is an abundant number, since it is smaller than the sum of its proper divisors (30692880).

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

12564360 is a wasteful number, since it uses less digits than its factorization.

12564360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2080 counting only the distinct ones).

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

The square root of 12564360 is about 3544.6240985470. The cubic root of 12564360 is about 232.4770702326.

The spelling of 12564360 in words is "twelve million, five hundred sixty-four thousand, three hundred sixty".