575820 has 72 divisors (see below), whose sum is σ = 2000544. Its totient is φ = 131328.

The previous prime is 575791. The next prime is 575821. The reversal of 575820 is 28575.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (575821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032 + ... + 1488.

2⁵⁷⁵⁸²⁰ 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 575820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000272).

575820 is an abundant number, since it is smaller than the sum of its proper divisors (1424724).

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

575820 is a wasteful number, since it uses less digits than its factorization.

575820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 575820 is about 758.8280437622. The cubic root of 575820 is about 83.1946850032.

It can be divided in two parts, 5758 and 20, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 575820 in words is "five hundred seventy-five thousand, eight hundred twenty".