32220 has 36 divisors (see below), whose sum is σ = 98280. Its totient is φ = 8544.

The previous prime is 32213. The next prime is 32233. The reversal of 32220 is 2223.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2³²²²⁰ is an apocalyptic number.

32220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 179×180.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

32220 is an abundant number, since it is smaller than the sum of its proper divisors (66060).

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

32220 is a wasteful number, since it uses less digits than its factorization.

32220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 32220 is about 179.4993036198. The cubic root of 32220 is about 31.8206108226.

Adding to 32220 its reverse (2223), we get a palindrome (34443).

It can be divided in two parts, 32 and 220, that added together give a palindrome (252).

The spelling of 32220 in words is "thirty-two thousand, two hundred twenty".