168128 has 28 divisors (see below), whose sum is σ = 347472. Its totient is φ = 80640.

The previous prime is 168127. The next prime is 168143. The reversal of 168128 is 821861.

It is a junction number, because it is equal to n+sod(n) for n = 168097 and 168106.

It is not an unprimeable number, because it can be changed into a prime (168127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2333 + ... + 2403.

2¹⁶⁸¹²⁸ 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 168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736).

168128 is an abundant number, since it is smaller than the sum of its proper divisors (179344).

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

168128 is an equidigital number, since it uses as much as digits as its factorization.

168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 168128 is about 410.0341449197. The cubic root of 168128 is about 55.1924935532.

Adding to 168128 its reverse (821861), we get a palindrome (989989).

The spelling of 168128 in words is "one hundred sixty-eight thousand, one hundred twenty-eight".