11085840 has 120 divisors (see below), whose sum is σ = 37865880. Its totient is φ = 2906112.

The previous prime is 11085803. The next prime is 11085847. The reversal of 11085840 is 4858011.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 9437184 = 1284^2 + 3072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11085847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63994 + ... + 64166.

It is an arithmetic number, because the mean of its divisors is an integer number (315549).

Almost surely, 2^11085840 is an apocalyptic number.

11085840 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 11085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932940).

11085840 is an abundant number, since it is smaller than the sum of its proper divisors (26780040).

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

11085840 is a wasteful number, since it uses less digits than its factorization.

11085840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11085840 is about 3329.5405088390. The cubic root of 11085840 is about 222.9750151313.

The spelling of 11085840 in words is "eleven million, eighty-five thousand, eight hundred forty".