66968 has 16 divisors (see below), whose sum is σ = 137160. Its totient is φ = 30400.

The previous prime is 66959. The next prime is 66973. The reversal of 66968 is 86966.

It is a congruent number.

It is an unprimeable number.

66968 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, 293 + ... + 468.

2⁶⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

66968 is an abundant number, since it is smaller than the sum of its proper divisors (70192).

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 (68580).

66968 is a wasteful number, since it uses less digits than its factorization.

66968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 774 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 66968 is about 258.7817613357. The cubic root of 66968 is about 40.6090138285.

It can be divided in two parts, 669 and 68, that added together give a palindrome (737).

The spelling of 66968 in words is "sixty-six thousand, nine hundred sixty-eight".