268845312 has 72 divisors (see below), whose sum is σ = 740255040. Its totient is φ = 86517760.

The previous prime is 268845281. The next prime is 268845337. The reversal of 268845312 is 213548862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16237 + ... + 28307.

It is an arithmetic number, because the mean of its divisors is an integer number (10281320).

Almost surely, 2^268845312 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 268845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370127520).

268845312 is an abundant number, since it is smaller than the sum of its proper divisors (471409728).

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

268845312 is a wasteful number, since it uses less digits than its factorization.

268845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119 (or 12105 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 268845312 is about 16396.5030418074. The cubic root of 268845312 is about 645.4077201019.

The spelling of 268845312 in words is "two hundred sixty-eight million, eight hundred forty-five thousand, three hundred twelve".