10968 has 16 divisors (see below), whose sum is σ = 27480. Its totient is φ = 3648.

The previous prime is 10957. The next prime is 10973. The reversal of 10968 is 86901.

10968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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: 457 = 10968 / (1 + 0 + 9 + 6 + 8).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

10968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 205 + ... + 252.

2¹⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

10968 is an abundant number, since it is smaller than the sum of its proper divisors (16512).

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 (13740).

10968 is a wasteful number, since it uses less digits than its factorization.

10968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10968 is about 104.7282196927. The cubic root of 10968 is about 22.2182140919.

The spelling of 10968 in words is "ten thousand, nine hundred sixty-eight".