581220 has 36 divisors (see below), whose sum is σ = 1763580. Its totient is φ = 154944.

The previous prime is 581201. The next prime is 581227. The reversal of 581220 is 22185.

581220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 389376 = 438^2 + 624^2 .

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 (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 581193 and 581202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581220.

It is not an unprimeable number, because it can be changed into a prime (581227) by changing a digit.

581220 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 11 ways as a sum of consecutive naturals, for example, 1435 + ... + 1794.

2⁵⁸¹²²⁰ is an apocalyptic number.

It is an amenable number.

581220 is an abundant number, since it is smaller than the sum of its proper divisors (1182360).

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

581220 is a wasteful number, since it uses less digits than its factorization.

581220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 581220 is about 762.3778590699. The cubic root of 581220 is about 83.4539409171.

It can be divided in two parts, 5812 and 20, that added together give a cube (5832 = 18³).

The spelling of 581220 in words is "five hundred eighty-one thousand, two hundred twenty".