11180880 has 120 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 2915328.

The previous prime is 11180857. The next prime is 11180881. The reversal of 11180880 is 8808111.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 6411024 = 2184^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38014 + ... + 38306.

Almost surely, 2^11180880 is an apocalyptic number.

11180880 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 11180880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194084).

11180880 is an abundant number, since it is smaller than the sum of its proper divisors (27207288).

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

11180880 is a wasteful number, since it uses less digits than its factorization.

11180880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 11180880 is about 3343.7822895637. The cubic root of 11180880 is about 223.6103984420.

Adding to 11180880 its reverse (8808111), we get a palindrome (19988991).

The spelling of 11180880 in words is "eleven million, one hundred eighty thousand, eight hundred eighty".