168800 has 36 divisors (see below), whose sum is σ = 414036. Its totient is φ = 67200.

The previous prime is 168781. The next prime is 168803. The reversal of 168800 is 8861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (11501).

2¹⁶⁸⁸⁰⁰ is an apocalyptic number.

168800 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 168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207018).

168800 is an abundant number, since it is smaller than the sum of its proper divisors (245236).

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

168800 is a wasteful number, since it uses less digits than its factorization.

168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 168800 is about 410.8527716835. The cubic root of 168800 is about 55.2659297651.

The spelling of 168800 in words is "one hundred sixty-eight thousand, eight hundred".