68964 has 24 divisors (see below), whose sum is σ = 184128. Its totient is φ = 19680.

The previous prime is 68963. The next prime is 68993. The reversal of 68964 is 46986.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (68963) 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 7 ways as a sum of consecutive naturals, for example, 327 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (7672).

2⁶⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

68964 is an abundant number, since it is smaller than the sum of its proper divisors (115164).

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 (92064).

68964 is a wasteful number, since it uses less digits than its factorization.

68964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 68964 is about 262.6099769620. The cubic root of 68964 is about 41.0085248980.

The spelling of 68964 in words is "sixty-eight thousand, nine hundred sixty-four".