12885824 has 56 divisors (see below), whose sum is σ = 29870400. Its totient is φ = 5513088.

The previous prime is 12885811. The next prime is 12885827. The reversal of 12885824 is 42858821.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12885827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21659 + ... + 22245.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 2^12885824 is an apocalyptic number.

12885824 is a gapful number since it is divisible by the number (14) 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 12885824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935200).

12885824 is an abundant number, since it is smaller than the sum of its proper divisors (16984576).

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

12885824 is an frugal number, since it uses more digits than its factorization.

12885824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 596 counting only the distinct ones).

The product of its digits is 40960, while the sum is 38.

The square root of 12885824 is about 3589.6829943604. The cubic root of 12885824 is about 234.4430692718.

The spelling of 12885824 in words is "twelve million, eight hundred eighty-five thousand, eight hundred twenty-four".