332320 has 48 divisors (see below), whose sum is σ = 822528. Its totient is φ = 126720.

The previous prime is 332317. The next prime is 332393. The reversal of 332320 is 23233.

It is a super-2 number, since 2×332320² = 220873164800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332320.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4927 + ... + 4993.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2³³²³²⁰ 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 332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264).

332320 is an abundant number, since it is smaller than the sum of its proper divisors (490208).

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

332320 is a wasteful number, since it uses less digits than its factorization.

332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 332320 is about 576.4720288097. The cubic root of 332320 is about 69.2657955080.

Adding to 332320 its reverse (23233), we get a palindrome (355553).

It can be divided in two parts, 3 and 32320, that added together give a palindrome (32323).

The spelling of 332320 in words is "three hundred thirty-two thousand, three hundred twenty".