68200 has 48 divisors (see below), whose sum is σ = 178560. Its totient is φ = 24000.

The previous prime is 68171. The next prime is 68207. The reversal of 68200 is 286.

It is not an unprimeable number, because it can be changed into a prime (68207) by changing a digit.

68200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185 + ... + 2215.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁶⁸²⁰⁰ 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 68200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

68200 is an abundant number, since it is smaller than the sum of its proper divisors (110360).

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

68200 is a wasteful number, since it uses less digits than its factorization.

68200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 68200 is about 261.1512971440. The cubic root of 68200 is about 40.8565280780.

Adding to 68200 its reverse (286), we get a palindrome (68486).

The spelling of 68200 in words is "sixty-eight thousand, two hundred".