11266580 has 48 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 3913728.

The previous prime is 11266579. The next prime is 11266613. The reversal of 11266580 is 8566211.

It is a happy number.

11266580 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 8 ways, for example, as 204304 + 11062276 = 452^2 + 3326^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3146 + ... + 5694.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^11266580 is an apocalyptic number.

11266580 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 11266580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

11266580 is an abundant number, since it is smaller than the sum of its proper divisors (15722620).

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

11266580 is a wasteful number, since it uses less digits than its factorization.

11266580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 11266580 is about 3356.5726567438. The cubic root of 11266580 is about 224.1802598748.

The spelling of 11266580 in words is "eleven million, two hundred sixty-six thousand, five hundred eighty".