11140920 has 96 divisors (see below), whose sum is σ = 41389920. Its totient is φ = 2545920.

The previous prime is 11140907. The next prime is 11140937. The reversal of 11140920 is 2904111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11140893 and 11140902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310 + ... + 4730.

It is an arithmetic number, because the mean of its divisors is an integer number (431145).

Almost surely, 2^11140920 is an apocalyptic number.

11140920 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 11140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694960).

11140920 is an abundant number, since it is smaller than the sum of its proper divisors (30249000).

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

11140920 is a wasteful number, since it uses less digits than its factorization.

11140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11140920 is about 3337.8016717594. The cubic root of 11140920 is about 223.3436890324.

The spelling of 11140920 in words is "eleven million, one hundred forty thousand, nine hundred twenty".