11085520 has 20 divisors (see below), whose sum is σ = 25774020. Its totient is φ = 4434176.

The previous prime is 11085499. The next prime is 11085523. The reversal of 11085520 is 2558011.

It can be written as a sum of positive squares in 2 ways, for example, as 5721664 + 5363856 = 2392^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11085491 and 11085500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69205 + ... + 69364.

It is an arithmetic number, because the mean of its divisors is an integer number (1288701).

Almost surely, 2^11085520 is an apocalyptic number.

11085520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11085520 is an abundant number, since it is smaller than the sum of its proper divisors (14688500).

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

11085520 is a wasteful number, since it uses less digits than its factorization.

11085520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138582 (or 138576 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 11085520 is about 3329.4924538133. The cubic root of 11085520 is about 222.9728696709.

The spelling of 11085520 in words is "eleven million, eighty-five thousand, five hundred twenty".