11968 has 28 divisors (see below), whose sum is σ = 27432. Its totient is φ = 5120.

The previous prime is 11959. The next prime is 11969. The reversal of 11968 is 86911.

It is not an unprimeable number, because it can be changed into a prime (11969) by changing a digit.

11968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 696 + ... + 712.

2¹¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716).

11968 is an abundant number, since it is smaller than the sum of its proper divisors (15464).

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

11968 is a wasteful number, since it uses less digits than its factorization.

11968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 30 counting only the distinct ones).

The product of its digits is 432, while the sum is 25.

The square root of 11968 is about 109.3983546494. The cubic root of 11968 is about 22.8739162595.

It can be divided in two parts, 11 and 968, that multiplied together give a cube (10648 = 22³).

The spelling of 11968 in words is "eleven thousand, nine hundred sixty-eight".