575580 has 48 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 149760.

The previous prime is 575579. The next prime is 575581. The reversal of 575580 is 85575.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (575579) and next prime (575581).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090 + ... + 3270.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁵⁷⁵⁵⁸⁰ 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 575580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

575580 is an abundant number, since it is smaller than the sum of its proper divisors (1075524).

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

575580 is a wasteful number, since it uses less digits than its factorization.

575580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 575580 is about 758.6698886868. The cubic root of 575580 is about 83.1831249676.

The spelling of 575580 in words is "five hundred seventy-five thousand, five hundred eighty".