66500 has 48 divisors (see below), whose sum is σ = 174720. Its totient is φ = 21600.

The previous prime is 66499. The next prime is 66509. The reversal of 66500 is 566.

It is a happy number.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (66509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3491 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁶⁶⁵⁰⁰ 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 66500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

66500 is an abundant number, since it is smaller than the sum of its proper divisors (108220).

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

66500 is a wasteful number, since it uses less digits than its factorization.

66500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 66500 is about 257.8759391646. The cubic root of 66500 is about 40.5141950952.

The spelling of 66500 in words is "sixty-six thousand, five hundred".