11110920 has 64 divisors (see below), whose sum is σ = 33981120. Its totient is φ = 2905344.

The previous prime is 11110907. The next prime is 11110921. The reversal of 11110920 is 2901111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11110920.

It is not an unprimeable number, because it can be changed into a prime (11110921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5487 + ... + 7233.

It is an arithmetic number, because the mean of its divisors is an integer number (530955).

Almost surely, 2^11110920 is an apocalyptic number.

11110920 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 11110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990560).

11110920 is an abundant number, since it is smaller than the sum of its proper divisors (22870200).

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

11110920 is a wasteful number, since it uses less digits than its factorization.

11110920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 11110920 is about 3333.3046665434. The cubic root of 11110920 is about 223.1430373260.

The spelling of 11110920 in words is "eleven million, one hundred ten thousand, nine hundred twenty".