68328 has 48 divisors (see below), whose sum is σ = 202020. Its totient is φ = 20736.

The previous prime is 68311. The next prime is 68329. The reversal of 68328 is 82386.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 1764 = 258^2 + 42^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68329) by changing a digit.

68328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 900 + ... + 972.

2⁶⁸³²⁸ 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 68328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101010).

68328 is an abundant number, since it is smaller than the sum of its proper divisors (133692).

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

68328 is a wasteful number, since it uses less digits than its factorization.

68328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 68328 is about 261.3962509295. The cubic root of 68328 is about 40.8820723952.

The spelling of 68328 in words is "sixty-eight thousand, three hundred twenty-eight".