12885984 has 72 divisors (see below), whose sum is σ = 37090872. Its totient is φ = 4243200.

The previous prime is 12885959. The next prime is 12885989. The reversal of 12885984 is 48958821.

It is a happy number.

12885984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12885989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28867 + ... + 29309.

It is an arithmetic number, because the mean of its divisors is an integer number (515151).

Almost surely, 2^12885984 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 12885984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545436).

12885984 is an abundant number, since it is smaller than the sum of its proper divisors (24204888).

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

12885984 is a wasteful number, since it uses less digits than its factorization.

12885984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 12885984 is about 3589.7052803817. The cubic root of 12885984 is about 234.4440396077. Note that the first 3 decimals are identical.

The spelling of 12885984 in words is "twelve million, eight hundred eighty-five thousand, nine hundred eighty-four".