11000920 has 64 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 3724800.

The previous prime is 11000917. The next prime is 11000929. The reversal of 11000920 is 2900011.

It is a self number, because there is not a number n which added to its sum of digits gives 11000920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000929) 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, 28086 + ... + 28474.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^11000920 is an apocalyptic number.

11000920 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 11000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

11000920 is an abundant number, since it is smaller than the sum of its proper divisors (17640680).

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

11000920 is a wasteful number, since it uses less digits than its factorization.

11000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 11000920 is about 3316.7634826740. The cubic root of 11000920 is about 222.4042090710.

Adding to 11000920 its reverse (2900011), we get a palindrome (13900931).

The spelling of 11000920 in words is "eleven million, nine hundred twenty", and thus it is an aban number.