11126880 has 72 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 2966784.

The previous prime is 11126839. The next prime is 11126887. The reversal of 11126880 is 8862111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (527436).

Almost surely, 2^11126880 is an apocalyptic number.

11126880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11126880 is an abundant number, since it is smaller than the sum of its proper divisors (26848512).

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

11126880 is a wasteful number, since it uses less digits than its factorization.

11126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11126880 is about 3335.6978280414. The cubic root of 11126880 is about 223.2498289335.

Adding to 11126880 its reverse (8862111), we get a palindrome (19988991).

The spelling of 11126880 in words is "eleven million, one hundred twenty-six thousand, eight hundred eighty".