32020 has 12 divisors (see below), whose sum is σ = 67284. Its totient is φ = 12800.

The previous prime is 32009. The next prime is 32027. The reversal of 32020 is 2023.

32020 = 39² + 40² + ... + 53².

It can be written as a sum of positive squares in 2 ways, for example, as 24964 + 7056 = 158^2 + 84^2 .

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31994 and 32012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32027) by changing a digit.

32020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781 + ... + 820.

It is an arithmetic number, because the mean of its divisors is an integer number (5607).

It is the magic constant of a 40 × 40 magic square.

2³²⁰²⁰ is an apocalyptic number.

It is an amenable number.

32020 is an abundant number, since it is smaller than the sum of its proper divisors (35264).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642).

32020 is a wasteful number, since it uses less digits than its factorization.

32020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 32020 is about 178.9413311675. The cubic root of 32020 is about 31.7546338329.

Adding to 32020 its reverse (2023), we get a palindrome (34043).

It can be divided in two parts, 320 and 20, that multiplied together give a square (6400 = 80²).

The spelling of 32020 in words is "thirty-two thousand, twenty".