230688640 has 256 divisors, whose sum is σ = 721768320. Its totient is φ = 68419584.

The previous prime is 230688631. The next prime is 230688659. The reversal of 230688640 is 46886032.

It is a self number, because there is not a number n which added to its sum of digits gives 230688640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989964 + ... + 990196.

Almost surely, 2^230688640 is an apocalyptic number.

230688640 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 230688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

230688640 is an abundant number, since it is smaller than the sum of its proper divisors (491079680).

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

230688640 is a wasteful number, since it uses less digits than its factorization.

230688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 230688640 is about 15188.4377076775. The cubic root of 230688640 is about 613.3034431978.

The spelling of 230688640 in words is "two hundred thirty million, six hundred eighty-eight thousand, six hundred forty".