12805360 has 40 divisors (see below), whose sum is σ = 30288240. Its totient is φ = 5033472.

The previous prime is 12805349. The next prime is 12805417. The reversal of 12805360 is 6350821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3364 + ... + 6076.

It is an arithmetic number, because the mean of its divisors is an integer number (757206).

Almost surely, 2^12805360 is an apocalyptic number.

12805360 is a gapful number since it is divisible by the number (10) 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 12805360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144120).

12805360 is an abundant number, since it is smaller than the sum of its proper divisors (17482880).

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

12805360 is a wasteful number, since it uses less digits than its factorization.

12805360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12805360 is about 3578.4577683689. The cubic root of 12805360 is about 233.9540660319.

The spelling of 12805360 in words is "twelve million, eight hundred five thousand, three hundred sixty".