12968 has 8 divisors (see below), whose sum is σ = 24330. Its totient is φ = 6480.

The previous prime is 12967. The next prime is 12973. The reversal of 12968 is 86921.

12968 = T₃₂ + T₃₃ + ... + T₄₇.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 3364 = 98^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (12967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 803 + ... + 818.

2¹²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

12968 is a deficient number, since it is larger than the sum of its proper divisors (11362).

12968 is a wasteful number, since it uses less digits than its factorization.

12968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1623 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 12968 is about 113.8771267639. The cubic root of 12968 is about 23.4940380228.

The spelling of 12968 in words is "twelve thousand, nine hundred sixty-eight".