11168880 has 80 divisors (see below), whose sum is σ = 34953120. Its totient is φ = 2950144.

The previous prime is 11168879. The next prime is 11168887. The reversal of 11168880 is 8886111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11168887) 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 15 ways as a sum of consecutive naturals, for example, 41386 + ... + 41654.

It is an arithmetic number, because the mean of its divisors is an integer number (436914).

Almost surely, 2^11168880 is an apocalyptic number.

11168880 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 11168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476560).

11168880 is an abundant number, since it is smaller than the sum of its proper divisors (23784240).

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

11168880 is a wasteful number, since it uses less digits than its factorization.

11168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 11168880 is about 3341.9874326514. The cubic root of 11168880 is about 223.5303723819.

The spelling of 11168880 in words is "eleven million, one hundred sixty-eight thousand, eight hundred eighty".