168200 has 36 divisors (see below), whose sum is σ = 405015. Its totient is φ = 64960.

The previous prime is 168197. The next prime is 168211. The reversal of 168200 is 2861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 64516 + 103684 = 254^2 + 322^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=290.

It is an unprimeable 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 8 ways as a sum of consecutive naturals, for example, 5786 + ... + 5814.

2¹⁶⁸²⁰⁰ is an apocalyptic number.

168200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168200

168200 is an abundant number, since it is smaller than the sum of its proper divisors (236815).

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

168200 is a wasteful number, since it uses less digits than its factorization.

168200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 168200 is about 410.1219330882. The cubic root of 168200 is about 55.2003710680.

The spelling of 168200 in words is "one hundred sixty-eight thousand, two hundred".