268293168 has 320 divisors, whose sum is σ = 934940160. Its totient is φ = 72576000.

The previous prime is 268293163. The next prime is 268293197. The reversal of 268293168 is 861392862.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268293161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2656318 + ... + 2656418.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2^268293168 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 268293168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467470080).

268293168 is an abundant number, since it is smaller than the sum of its proper divisors (666646992).

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

268293168 is a wasteful number, since it uses less digits than its factorization.

268293168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 268293168 is about 16379.6571392688. The cubic root of 268293168 is about 644.9655795585.

The spelling of 268293168 in words is "two hundred sixty-eight million, two hundred ninety-three thousand, one hundred sixty-eight".