12584960 has 48 divisors (see below), whose sum is σ = 30221100. Its totient is φ = 5029888.

The previous prime is 12584911. The next prime is 12584983. The reversal of 12584960 is 6948521.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 861184 = 3424^2 + 928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12584960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9626 + ... + 10854.

Almost surely, 2^12584960 is an apocalyptic number.

12584960 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 12584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110550).

12584960 is an abundant number, since it is smaller than the sum of its proper divisors (17636140).

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

12584960 is an equidigital number, since it uses as much as digits as its factorization.

12584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 12584960 is about 3547.5287172904. The cubic root of 12584960 is about 232.6040540910.

The spelling of 12584960 in words is "twelve million, five hundred eighty-four thousand, nine hundred sixty".