11266560 has 160 divisors (see below), whose sum is σ = 40265280. Its totient is φ = 2985984.

The previous prime is 11266553. The next prime is 11266561. The reversal of 11266560 is 6566211.

It is a happy number.

11266560 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11266561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69039 + ... + 69201.

It is an arithmetic number, because the mean of its divisors is an integer number (251658).

Almost surely, 2^11266560 is an apocalyptic number.

11266560 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 11266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132640).

11266560 is an abundant number, since it is smaller than the sum of its proper divisors (28998720).

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

11266560 is an equidigital number, since it uses as much as digits as its factorization.

11266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11266560 is about 3356.5696775130. The cubic root of 11266560 is about 224.1801272226.

The spelling of 11266560 in words is "eleven million, two hundred sixty-six thousand, five hundred sixty".