12840576 has 128 divisors (see below), whose sum is σ = 41420160. Its totient is φ = 3440640.

The previous prime is 12840571. The next prime is 12840613. The reversal of 12840576 is 67504821.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12840571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45556 + ... + 45836.

It is an arithmetic number, because the mean of its divisors is an integer number (323595).

Almost surely, 2^12840576 is an apocalyptic number.

12840576 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 12840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710080).

12840576 is an abundant number, since it is smaller than the sum of its proper divisors (28579584).

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

12840576 is a wasteful number, since it uses less digits than its factorization.

12840576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12840576 is about 3583.3749454948. The cubic root of 12840576 is about 234.1683352985.

It can be divided in two parts, 128 and 40576, that added together give a palindrome (40704).

The spelling of 12840576 in words is "twelve million, eight hundred forty thousand, five hundred seventy-six".