66768 has 40 divisors (see below), whose sum is σ = 187488. Its totient is φ = 20352.

The previous prime is 66763. The next prime is 66791. The reversal of 66768 is 86766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 677.

2⁶⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

66768 is an abundant number, since it is smaller than the sum of its proper divisors (120720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66768 is a wasteful number, since it uses less digits than its factorization.

66768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 66768 is about 258.3950463921. The cubic root of 66768 is about 40.5685472302.

The spelling of 66768 in words is "sixty-six thousand, seven hundred sixty-eight".