12840864 has 48 divisors (see below), whose sum is σ = 33939360. Its totient is φ = 4250880.

The previous prime is 12840859. The next prime is 12840871. The reversal of 12840864 is 46804821.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17007 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (707070).

Almost surely, 2^12840864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969680).

12840864 is an abundant number, since it is smaller than the sum of its proper divisors (21098496).

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

12840864 is a wasteful number, since it uses less digits than its factorization.

12840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12840864 is about 3583.4151308493. The cubic root of 12840864 is about 234.1700859982.

The spelling of 12840864 in words is "twelve million, eight hundred forty thousand, eight hundred sixty-four".