268730368 has 64 divisors (see below), whose sum is σ = 550494000. Its totient is φ = 131137536.

The previous prime is 268730323. The next prime is 268730369. The reversal of 268730368 is 863037862.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (268730369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1933243 + ... + 1933381.

Almost surely, 2^268730368 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 268730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275247000).

268730368 is an abundant number, since it is smaller than the sum of its proper divisors (281763632).

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

268730368 is an frugal number, since it uses more digits than its factorization.

268730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 268730368 is about 16392.9975294331. The cubic root of 268730368 is about 645.3157262839.

The spelling of 268730368 in words is "two hundred sixty-eight million, seven hundred thirty thousand, three hundred sixty-eight".