230208768 has 108 divisors (see below), whose sum is σ = 680216628. Its totient is φ = 74833920.

The previous prime is 230208761. The next prime is 230208791. The reversal of 230208768 is 867802032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112529664 + 117679104 = 10608^2 + 10848^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230208761) 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, 93246 + ... + 95682.

Almost surely, 2^230208768 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 230208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340108314).

230208768 is an abundant number, since it is smaller than the sum of its proper divisors (450007860).

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

230208768 is a wasteful number, since it uses less digits than its factorization.

230208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 230208768 is about 15172.6322040706. The cubic root of 230208768 is about 612.8778891468.

The spelling of 230208768 in words is "two hundred thirty million, two hundred eight thousand, seven hundred sixty-eight".