11090920 has 16 divisors (see below), whose sum is σ = 24954660. Its totient is φ = 4436352.

The previous prime is 11090917. The next prime is 11090921. The reversal of 11090920 is 2909011.

11090920 = 84² + 85² + ... + 323².

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 81796 = 3318^2 + 286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11090891 and 11090900.

It is not an unprimeable number, because it can be changed into a prime (11090921) 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 3 ways as a sum of consecutive naturals, for example, 138597 + ... + 138676.

Almost surely, 2^11090920 is an apocalyptic number.

11090920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11090920 is an abundant number, since it is smaller than the sum of its proper divisors (13863740).

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

11090920 is a wasteful number, since it uses less digits than its factorization.

11090920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277284 (or 277280 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 11090920 is about 3330.3032894918. The cubic root of 11090920 is about 223.0090687860.

Adding to 11090920 its reverse (2909011), we get a palindrome (13999931).

The spelling of 11090920 in words is "eleven million, ninety thousand, nine hundred twenty".