11180 has 24 divisors (see below), whose sum is σ = 25872. Its totient is φ = 4032.

The previous prime is 11177. The next prime is 11197. The reversal of 11180 is 8111.

11180 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 7.

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, 239 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (1078).

2¹¹¹⁸⁰ is an apocalyptic number.

11180 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 11180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936).

11180 is an abundant number, since it is smaller than the sum of its proper divisors (14692).

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

11180 is a wasteful number, since it uses less digits than its factorization.

11180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 11180 is about 105.7355191031. The cubic root of 11180 is about 22.3604531810.

Adding to 11180 its reverse (8111), we get a palindrome (19291).

It can be divided in two parts, 111 and 80, that added together give a palindrome (191).

The spelling of 11180 in words is "eleven thousand, one hundred eighty".