12808560 has 80 divisors (see below), whose sum is σ = 40247424. Its totient is φ = 3369216.

The previous prime is 12808529. The next prime is 12808583. The reversal of 12808560 is 6580821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 19599 + ... + 20241.

Almost surely, 2^12808560 is an apocalyptic number.

12808560 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 12808560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123712).

12808560 is an abundant number, since it is smaller than the sum of its proper divisors (27438864).

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

12808560 is a wasteful number, since it uses less digits than its factorization.

12808560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 12808560 is about 3578.9048604287. The cubic root of 12808560 is about 233.9735524204.

The spelling of 12808560 in words is "twelve million, eight hundred eight thousand, five hundred sixty".