11080 has 16 divisors (see below), whose sum is σ = 25020. Its totient is φ = 4416.

The previous prime is 11071. The next prime is 11083. The reversal of 11080 is 8011.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 676 = 102^2 + 26^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99 + ... + 178.

2¹¹⁰⁸⁰ is an apocalyptic number.

11080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11080 is an abundant number, since it is smaller than the sum of its proper divisors (13940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510).

11080 is a wasteful number, since it uses less digits than its factorization.

11080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11080 is about 105.2615789355. The cubic root of 11080 is about 22.2935853979.

Adding to 11080 its reverse (8011), we get a palindrome (19091).

It can be divided in two parts, 110 and 80, that added together give a triangular number (190 = T₁₉).

The spelling of 11080 in words is "eleven thousand, eighty".