230607584 has 48 divisors (see below), whose sum is σ = 487384128. Its totient is φ = 107016192.

The previous prime is 230607571. The next prime is 230607589. The reversal of 230607584 is 485706032.

It is a happy number.

230607584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230607589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36809 + ... + 42615.

It is an arithmetic number, because the mean of its divisors is an integer number (10153836).

Almost surely, 2^230607584 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 230607584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243692064).

230607584 is an abundant number, since it is smaller than the sum of its proper divisors (256776544).

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

230607584 is a wasteful number, since it uses less digits than its factorization.

230607584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 230607584 is about 15185.7691277064. The cubic root of 230607584 is about 613.2316035855.

The spelling of 230607584 in words is "two hundred thirty million, six hundred seven thousand, five hundred eighty-four".