12803580 has 72 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 3369216.

The previous prime is 12803569. The next prime is 12803611. The reversal of 12803580 is 8530821.

It is a happy number.

12803580 is a `hidden beast` number, since 1 + 2 + 80 + 3 + 580 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14512 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 2^12803580 is an apocalyptic number.

12803580 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 12803580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656).

12803580 is an abundant number, since it is smaller than the sum of its proper divisors (26547732).

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

12803580 is a wasteful number, since it uses less digits than its factorization.

12803580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12803580 is about 3578.2090492312. The cubic root of 12803580 is about 233.9432253231.

The spelling of 12803580 in words is "twelve million, eight hundred three thousand, five hundred eighty".