320128 has 32 divisors (see below), whose sum is σ = 664020. Its totient is φ = 153600.

The previous prime is 320119. The next prime is 320141. The reversal of 320128 is 821023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 97344 = 472^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5218 + ... + 5278.

2³²⁰¹²⁸ 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 320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332010).

320128 is an abundant number, since it is smaller than the sum of its proper divisors (343892).

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

320128 is an equidigital number, since it uses as much as digits as its factorization.

320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 320128 is about 565.7985507228. The cubic root of 320128 is about 68.4081565231.

The spelling of 320128 in words is "three hundred twenty thousand, one hundred twenty-eight".