66200 has 24 divisors (see below), whose sum is σ = 154380. Its totient is φ = 26400.

The previous prime is 66191. The next prime is 66221. The reversal of 66200 is 266.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

66200 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 5 ways as a sum of consecutive naturals, for example, 35 + ... + 365.

2⁶⁶²⁰⁰ 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 66200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77190).

66200 is an abundant number, since it is smaller than the sum of its proper divisors (88180).

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

66200 is a wasteful number, since it uses less digits than its factorization.

66200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 66200 is about 257.2936066054. The cubic root of 66200 is about 40.4531796488.

Adding to 66200 its reverse (266), we get a palindrome (66466).

The spelling of 66200 in words is "sixty-six thousand, two hundred".