536220 has 60 divisors (see below), whose sum is σ = 1687224. Its totient is φ = 142560.

The previous prime is 536219. The next prime is 536227. The reversal of 536220 is 22635.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 536193 and 536202.

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 536220.

It is not an unprimeable number, because it can be changed into a prime (536227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1455 + ... + 1785.

2⁵³⁶²²⁰ 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 536220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843612).

536220 is an abundant number, since it is smaller than the sum of its proper divisors (1151004).

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

536220 is a wasteful number, since it uses less digits than its factorization.

536220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 536220 is about 732.2704418451. The cubic root of 536220 is about 81.2420741776.

Adding to 536220 its reverse (22635), we get a palindrome (558855).

The spelling of 536220 in words is "five hundred thirty-six thousand, two hundred twenty".