230800608 has 72 divisors (see below), whose sum is σ = 671638968. Its totient is φ = 75140352.

The previous prime is 230800601. The next prime is 230800613. The reversal of 230800608 is 806008032.

230800608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230800601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3066 + ... + 21702.

It is an arithmetic number, because the mean of its divisors is an integer number (9328319).

Almost surely, 2^230800608 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 230800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335819484).

230800608 is an abundant number, since it is smaller than the sum of its proper divisors (440838360).

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

230800608 is a wasteful number, since it uses less digits than its factorization.

230800608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18696 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230800608 is about 15192.1232222491. The cubic root of 230800608 is about 613.4026523207.

The spelling of 230800608 in words is "two hundred thirty million, eight hundred thousand, six hundred eight".