11166880 has 48 divisors (see below), whose sum is σ = 26780544. Its totient is φ = 4399360.

The previous prime is 11166877. The next prime is 11166893. The reversal of 11166880 is 8866111.

It is a happy number.

It is a congruent number.

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, 10869 + ... + 11851.

It is an arithmetic number, because the mean of its divisors is an integer number (557928).

Almost surely, 2^11166880 is an apocalyptic number.

11166880 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 11166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272).

11166880 is an abundant number, since it is smaller than the sum of its proper divisors (15613664).

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

11166880 is an equidigital number, since it uses as much as digits as its factorization.

11166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 11166880 is about 3341.6881961069. The cubic root of 11166880 is about 223.5170291332.

The spelling of 11166880 in words is "eleven million, one hundred sixty-six thousand, eight hundred eighty".