168000 has 112 divisors (see below), whose sum is σ = 633984. Its totient is φ = 38400.

The previous prime is 167987. The next prime is 168013. The reversal of 168000 is 861.

It is an interprime number because it is at equal distance from previous prime (167987) and next prime (168013).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23997 + ... + 24003.

2¹⁶⁸⁰⁰⁰ is an apocalyptic number.

168000 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 168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316992).

168000 is an abundant number, since it is smaller than the sum of its proper divisors (465984).

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

168000 is an equidigital number, since it uses as much as digits as its factorization.

168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 168000 is about 409.8780306384. The cubic root of 168000 is about 55.1784835276.

Adding to 168000 its reverse (861), we get a palindrome (168861).

The spelling of 168000 in words is "one hundred sixty-eight thousand".