268817872 has 40 divisors (see below), whose sum is σ = 552661056. Its totient is φ = 126230016.

The previous prime is 268817867. The next prime is 268817873. The reversal of 268817872 is 278718862.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268817873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185053 + ... + 186499.

Almost surely, 2^268817872 is an apocalyptic number.

It is an amenable number.

268817872 is an abundant number, since it is smaller than the sum of its proper divisors (283843184).

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

268817872 is a wasteful number, since it uses less digits than its factorization.

268817872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its digits is 602112, while the sum is 49.

The square root of 268817872 is about 16395.6662566667. Note that the first 3 decimals coincide. The cubic root of 268817872 is about 645.3857612658.

The spelling of 268817872 in words is "two hundred sixty-eight million, eight hundred seventeen thousand, eight hundred seventy-two".