230918688 has 480 divisors, whose sum is σ = 922078080. Its totient is φ = 54743040.

The previous prime is 230918671. The next prime is 230918707. The reversal of 230918688 is 886819032.

230918688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594548 + ... + 2594636.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^230918688 is an apocalyptic number.

230918688 is a gapful number since it is divisible by the number (28) 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 230918688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

230918688 is an abundant number, since it is smaller than the sum of its proper divisors (691159392).

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

230918688 is a wasteful number, since it uses less digits than its factorization.

230918688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 230918688 is about 15196.0089497210. The cubic root of 230918688 is about 613.5072422194.

The spelling of 230918688 in words is "two hundred thirty million, nine hundred eighteen thousand, six hundred eighty-eight".