63220 has 24 divisors (see below), whose sum is σ = 138600. Its totient is φ = 24192.

The previous prime is 63211. The next prime is 63241. The reversal of 63220 is 2236.

63220 = T₅₁ + T₅₂ + ... + T₇₉.

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 51984 = 106^2 + 228^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 63220.

It is a congruent number.

It is an unprimeable number.

63220 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 526 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (5775).

2⁶³²²⁰ 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 63220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69300).

63220 is an abundant number, since it is smaller than the sum of its proper divisors (75380).

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

63220 is a wasteful number, since it uses less digits than its factorization.

63220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 63220 is about 251.4358765173. The cubic root of 63220 is about 39.8368353373.

Adding to 63220 its reverse (2236), we get a palindrome (65456).

The spelling of 63220 in words is "sixty-three thousand, two hundred twenty".