11006880 has 96 divisors (see below), whose sum is σ = 36215424. Its totient is φ = 2804736.

The previous prime is 11006869. The next prime is 11006887. The reversal of 11006880 is 8860011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11006880.

It is not an unprimeable number, because it can be changed into a prime (11006887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10542 + ... + 11538.

It is an arithmetic number, because the mean of its divisors is an integer number (377244).

Almost surely, 2^11006880 is an apocalyptic number.

11006880 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 11006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107712).

11006880 is an abundant number, since it is smaller than the sum of its proper divisors (25208544).

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

11006880 is a wasteful number, since it uses less digits than its factorization.

11006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11006880 is about 3317.6618272512. The cubic root of 11006880 is about 222.4443660088. Note that the first 3 decimals are identical.

Adding to 11006880 its reverse (8860011), we get a palindrome (19866891).

The spelling of 11006880 in words is "eleven million, six thousand, eight hundred eighty".