11089920 has 144 divisors (see below), whose sum is σ = 37444680. Its totient is φ = 2801664.

The previous prime is 11089891. The next prime is 11089931. The reversal of 11089920 is 2998011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 583671 + ... + 583689.

Almost surely, 2^11089920 is an apocalyptic number.

11089920 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 11089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

11089920 is an abundant number, since it is smaller than the sum of its proper divisors (26354760).

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

11089920 is an equidigital number, since it uses as much as digits as its factorization.

11089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 11089920 is about 3330.1531496314. The cubic root of 11089920 is about 223.0023661328.

Multiplying 11089920 by its sum of digits (30), we get a square (332697600 = 18240²).

11089920 divided by its sum of digits (30) gives a square (369664 = 608²).

The spelling of 11089920 in words is "eleven million, eighty-nine thousand, nine hundred twenty".