12085344 has 72 divisors (see below), whose sum is σ = 35577360. Its totient is φ = 3886848.

The previous prime is 12085343. The next prime is 12085397. The reversal of 12085344 is 44358021.

12085344 is a `hidden beast` number, since 120 + 8 + 534 + 4 = 666.

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 (12085343) 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, 7629 + ... + 9075.

It is an arithmetic number, because the mean of its divisors is an integer number (494130).

Almost surely, 2^12085344 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 12085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788680).

12085344 is an abundant number, since it is smaller than the sum of its proper divisors (23492016).

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

12085344 is a wasteful number, since it uses less digits than its factorization.

12085344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 12085344 is about 3476.3981360023. The cubic root of 12085344 is about 229.4843140774.

The spelling of 12085344 in words is "twelve million, eighty-five thousand, three hundred forty-four".