268288567 has 8 divisors (see below), whose sum is σ = 277051280. Its totient is φ = 259640640.

The previous prime is 268288561. The next prime is 268288571. The reversal of 268288567 is 765882862.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268288567 - 2⁷ = 268288439 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268288561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23934 + ... + 33307.

It is an arithmetic number, because the mean of its divisors is an integer number (34631410).

Almost surely, 2^268288567 is an apocalyptic number.

268288567 is a deficient number, since it is larger than the sum of its proper divisors (8762713).

268288567 is a wasteful number, since it uses less digits than its factorization.

268288567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57393.

The product of its digits is 2580480, while the sum is 52.

The square root of 268288567 is about 16379.5166900614. The cubic root of 268288567 is about 644.9618926668.

The spelling of 268288567 in words is "two hundred sixty-eight million, two hundred eighty-eight thousand, five hundred sixty-seven".