11000880 has 160 divisors (see below), whose sum is σ = 41425920. Its totient is φ = 2661120.

The previous prime is 11000879. The next prime is 11000911. The reversal of 11000880 is 8800011.

It is a happy number.

11000880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23529 + ... + 23991.

It is an arithmetic number, because the mean of its divisors is an integer number (258912).

Almost surely, 2^11000880 is an apocalyptic number.

11000880 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 11000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712960).

11000880 is an abundant number, since it is smaller than the sum of its proper divisors (30425040).

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

11000880 is a wasteful number, since it uses less digits than its factorization.

11000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11000880 is about 3316.7574526938. The cubic root of 11000880 is about 222.4039395124.

Adding to 11000880 its reverse (8800011), we get a palindrome (19800891).

The spelling of 11000880 in words is "eleven million, eight hundred eighty", and thus it is an aban number.