230584320 has 260 divisors, whose sum is σ = 832533240. Its totient is φ = 61046784.

The previous prime is 230584279. The next prime is 230584327. The reversal of 230584320 is 23485032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230584327) 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, 1658811 + ... + 1658949.

Almost surely, 2^230584320 is an apocalyptic number.

230584320 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 230584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416266620).

230584320 is an abundant number, since it is smaller than the sum of its proper divisors (601948920).

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

230584320 is an equidigital number, since it uses as much as digits as its factorization.

230584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230584320 is about 15185.0031280866. The cubic root of 230584320 is about 613.2109816853.

The spelling of 230584320 in words is "two hundred thirty million, five hundred eighty-four thousand, three hundred twenty".