328068 has 36 divisors (see below), whose sum is σ = 894348. Its totient is φ = 100800.

The previous prime is 328067. The next prime is 328093. The reversal of 328068 is 860823.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 161604 = 408^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×328068² = 215257225248, which contains 22 as substring.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328068.

It is not an unprimeable number, because it can be changed into a prime (328061) 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 11 ways as a sum of consecutive naturals, for example, 118 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2³²⁸⁰⁶⁸ 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 328068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447174).

328068 is an abundant number, since it is smaller than the sum of its proper divisors (566280).

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

328068 is a wasteful number, since it uses less digits than its factorization.

328068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

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

The square root of 328068 is about 572.7722060296. The cubic root of 328068 is about 68.9691103071.

It can be divided in two parts, 32 and 8068, that added together give a square (8100 = 90²).

The spelling of 328068 in words is "three hundred twenty-eight thousand, sixty-eight".