230580 has 96 divisors (see below), whose sum is σ = 833280. Its totient is φ = 51840.

The previous prime is 230567. The next prime is 230597. The reversal of 230580 is 85032.

It is a super-3 number, since 3×230580³ = 36777834933336000, which contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750 + ... + 3810.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2²³⁰⁵⁸⁰ is an apocalyptic number.

230580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

230580 is an abundant number, since it is smaller than the sum of its proper divisors (602700).

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

230580 is a wasteful number, since it uses less digits than its factorization.

230580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 230580 is about 480.1874633932. The cubic root of 230580 is about 61.3207152156.

The spelling of 230580 in words is "two hundred thirty thousand, five hundred eighty".