230688000 has 360 divisors, whose sum is σ = 868107240. Its totient is φ = 60825600.

The previous prime is 230687993. The next prime is 230688001. The reversal of 230688000 is 886032.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 199148544 = 5616^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230688001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591956 + ... + 2592044.

It is an arithmetic number, because the mean of its divisors is an integer number (2411409).

Almost surely, 2^230688000 is an apocalyptic number.

230688000 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 230688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434053620).

230688000 is an abundant number, since it is smaller than the sum of its proper divisors (637419240).

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

230688000 is an frugal number, since it uses more digits than its factorization.

230688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

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

The square root of 230688000 is about 15188.4166390049. The cubic root of 230688000 is about 613.3028760343.

The spelling of 230688000 in words is "two hundred thirty million, six hundred eighty-eight thousand".