11940 has 24 divisors (see below), whose sum is σ = 33600. Its totient is φ = 3168.

The previous prime is 11939. The next prime is 11941. The reversal of 11940 is 4911.

11940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11939) and next prime (11941).

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

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (11941) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2¹¹⁹⁴⁰ is an apocalyptic number.

11940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11940 is an abundant number, since it is smaller than the sum of its proper divisors (21660).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

11940 is a wasteful number, since it uses less digits than its factorization.

11940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11940 is about 109.2703070372. The cubic root of 11940 is about 22.8560639372.

The spelling of 11940 in words is "eleven thousand, nine hundred forty".