66700 has 36 divisors (see below), whose sum is σ = 156240. Its totient is φ = 24640.

The previous prime is 66697. The next prime is 66701. The reversal of 66700 is 766.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (66701) 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 11 ways as a sum of consecutive naturals, for example, 2286 + ... + 2314.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁶⁶⁷⁰⁰ 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 66700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

66700 is an abundant number, since it is smaller than the sum of its proper divisors (89540).

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

66700 is a wasteful number, since it uses less digits than its factorization.

66700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 66700 is about 258.2634314029. The cubic root of 66700 is about 40.5547701800.

The spelling of 66700 in words is "sixty-six thousand, seven hundred".