32320 has 28 divisors (see below), whose sum is σ = 77724. Its totient is φ = 12800.

The previous prime is 32309. The next prime is 32321. The reversal of 32320 is 2323.

32320 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 9216 = 152^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 32297 and 32306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 270 + ... + 370.

2³²³²⁰ 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 32320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38862).

32320 is an abundant number, since it is smaller than the sum of its proper divisors (45404).

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

32320 is a wasteful number, since it uses less digits than its factorization.

32320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 32320 is about 179.7776404340. Note that the first 3 decimals coincide. The cubic root of 32320 is about 31.8534969672.

Adding to 32320 its reverse (2323), we get a palindrome (34643).

It can be divided in two parts, 323 and 20, that added together give a palindrome (343).

The spelling of 32320 in words is "thirty-two thousand, three hundred twenty".