268730568 has 128 divisors (see below), whose sum is σ = 783360000. Its totient is φ = 85250880.

The previous prime is 268730563. The next prime is 268730573. The reversal of 268730568 is 865037862.

268730568 is a `hidden beast` number, since 2 + 6 + 87 + 3 + 0 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (268730563) and next prime (268730573).

It is a super-2 number, since 2×268730568² = 144432236355205248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (268730563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448333 + ... + 448931.

It is an arithmetic number, because the mean of its divisors is an integer number (6120000).

Almost surely, 2^268730568 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 268730568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391680000).

268730568 is an abundant number, since it is smaller than the sum of its proper divisors (514629432).

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

268730568 is a wasteful number, since it uses less digits than its factorization.

268730568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 268730568 is about 16393.0036295976. The cubic root of 268730568 is about 645.3158863739.

The spelling of 268730568 in words is "two hundred sixty-eight million, seven hundred thirty thousand, five hundred sixty-eight".