66760 has 16 divisors (see below), whose sum is σ = 150300. Its totient is φ = 26688.

The previous prime is 66751. The next prime is 66763. The reversal of 66760 is 6766.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 196 = 258^2 + 14^2 .

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

66760 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 795 + ... + 874.

2⁶⁶⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

66760 is an abundant number, since it is smaller than the sum of its proper divisors (83540).

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 (75150).

66760 is a wasteful number, since it uses less digits than its factorization.

66760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 66760 is about 258.3795657555. The cubic root of 66760 is about 40.5669268864.

It can be divided in two parts, 667 and 60, that added together give a palindrome (727).

The spelling of 66760 in words is "sixty-six thousand, seven hundred sixty".