11266080 has 144 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 2569728.

The previous prime is 11266063. The next prime is 11266091. The reversal of 11266080 is 8066211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11266080.

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, 23281 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^11266080 is an apocalyptic number.

11266080 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 11266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

11266080 is an abundant number, since it is smaller than the sum of its proper divisors (30102240).

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

11266080 is a wasteful number, since it uses less digits than its factorization.

11266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11266080 is about 3356.4981751820. The cubic root of 11266080 is about 224.1769435242.

The spelling of 11266080 in words is "eleven million, two hundred sixty-six thousand, eighty".