12581856 has 108 divisors (see below), whose sum is σ = 41415192. Its totient is φ = 3549312.

The previous prime is 12581837. The next prime is 12581879. The reversal of 12581856 is 65818521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12581856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159225 + ... + 159303.

It is an arithmetic number, because the mean of its divisors is an integer number (383474).

Almost surely, 2^12581856 is an apocalyptic number.

12581856 is a gapful number since it is divisible by the number (16) 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 12581856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707596).

12581856 is an abundant number, since it is smaller than the sum of its proper divisors (28833336).

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

12581856 is an equidigital number, since it uses as much as digits as its factorization.

12581856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 91 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 12581856 is about 3547.0912026617. The cubic root of 12581856 is about 232.5849290838.

The spelling of 12581856 in words is "twelve million, five hundred eighty-one thousand, eight hundred fifty-six".