230768640 has 180 divisors, whose sum is σ = 802529364. Its totient is φ = 61341696.

The previous prime is 230768627. The next prime is 230768641. The reversal of 230768640 is 46867032.

230768640 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 201867264 = 5376^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230768595 and 230768604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230768641) 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 11 ways as a sum of consecutive naturals, for example, 737124 + ... + 737436.

Almost surely, 2^230768640 is an apocalyptic number.

230768640 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 230768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401264682).

230768640 is an abundant number, since it is smaller than the sum of its proper divisors (571760724).

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

230768640 is an equidigital number, since it uses as much as digits as its factorization.

230768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 230768640 is about 15191.0710616467. The cubic root of 230768640 is about 613.3743303829.

The spelling of 230768640 in words is "two hundred thirty million, seven hundred sixty-eight thousand, six hundred forty".