11976 has 16 divisors (see below), whose sum is σ = 30000. Its totient is φ = 3984.

The previous prime is 11971. The next prime is 11981. The reversal of 11976 is 67911.

11976 is nontrivially palindromic in base 11.

11976 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 (11971) and next prime (11981).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 499 = 11976 / (1 + 1 + 9 + 7 + 6).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11976.

It is not an unprimeable number, because it can be changed into a prime (11971) 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 3 ways as a sum of consecutive naturals, for example, 226 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (1875).

2¹¹⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

11976 is an abundant number, since it is smaller than the sum of its proper divisors (18024).

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 (15000).

11976 is a wasteful number, since it uses less digits than its factorization.

11976 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 digits is 378, while the sum is 24.

The square root of 11976 is about 109.4349121624. The cubic root of 11976 is about 22.8790118079.

The spelling of 11976 in words is "eleven thousand, nine hundred seventy-six".