12586280 has 64 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 4253184.

The previous prime is 12586247. The next prime is 12586283. The reversal of 12586280 is 8268521.

It is not an unprimeable number, because it can be changed into a prime (12586283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21836 + ... + 22404.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^12586280 is an apocalyptic number.

12586280 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 12586280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

12586280 is an abundant number, since it is smaller than the sum of its proper divisors (20245720).

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

12586280 is a wasteful number, since it uses less digits than its factorization.

12586280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 12586280 is about 3547.7147574178. The cubic root of 12586280 is about 232.6121861951.

The spelling of 12586280 in words is "twelve million, five hundred eighty-six thousand, two hundred eighty".