12766580 has 24 divisors (see below), whose sum is σ = 27465480. Its totient is φ = 4981760.

The previous prime is 12766577. The next prime is 12766603. The reversal of 12766580 is 8566721.

12766580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 12759184 = 86^2 + 3572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12766580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6965 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (1144395).

Almost surely, 2^12766580 is an apocalyptic number.

12766580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12766580 is an abundant number, since it is smaller than the sum of its proper divisors (14698900).

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

12766580 is a wasteful number, since it uses less digits than its factorization.

12766580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 12766580 is about 3573.0351243726. The cubic root of 12766580 is about 233.7176568822.

The spelling of 12766580 in words is "twelve million, seven hundred sixty-six thousand, five hundred eighty".