8968 has 16 divisors (see below), whose sum is σ = 18000. Its totient is φ = 4176.

The previous prime is 8963. The next prime is 8969. The reversal of 8968 is 8698.

8968 is a strobogrammatic number because it is the same when read upside-down.

It is a house number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8963) 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, 123 + ... + 181.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

It is an amenable number.

8968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (9000).

8968 is a wasteful number, since it uses less digits than its factorization.

8968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 8968 is about 94.6995248140. The cubic root of 8968 is about 20.7761561092.

It can be divided in two parts, 8 and 968, that multiplied together give a square (7744 = 88²).

The spelling of 8968 in words is "eight thousand, nine hundred sixty-eight".