11920 has 20 divisors (see below), whose sum is σ = 27900. Its totient is φ = 4736.

The previous prime is 11909. The next prime is 11923. The reversal of 11920 is 2911.

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 9216 = 52^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11920.

It is not an unprimeable number, because it can be changed into a prime (11923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2¹¹⁹²⁰ is an apocalyptic number.

11920 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 11920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950).

11920 is an abundant number, since it is smaller than the sum of its proper divisors (15980).

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

11920 is a wasteful number, since it uses less digits than its factorization.

11920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

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

The square root of 11920 is about 109.1787525116. The cubic root of 11920 is about 22.8432951837.

Subtracting from 11920 its reverse (2911), we obtain a palindrome (9009).

The spelling of 11920 in words is "eleven thousand, nine hundred twenty".