506220 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 111360.

The previous prime is 506213. The next prime is 506251. The reversal of 506220 is 22605.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 506220.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506220.

It is an unprimeable number.

506220 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 31 ways as a sum of consecutive naturals, for example, 8551 + ... + 8609.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁵⁰⁶²²⁰ 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 506220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

506220 is an abundant number, since it is smaller than the sum of its proper divisors (1187220).

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

506220 is a wasteful number, since it uses less digits than its factorization.

506220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 506220 is about 711.4913913745. The cubic root of 506220 is about 79.6978183486.

Adding to 506220 its reverse (22605), we get a palindrome (528825).

The spelling of 506220 in words is "five hundred six thousand, two hundred twenty".