268826688 has 140 divisors (see below), whose sum is σ = 858400620. Its totient is φ = 82695168.

The previous prime is 268826683. The next prime is 268826689. The reversal of 268826688 is 886628862.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 189117504 = 8928^2 + 13752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (268826681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65398 + ... + 69386.

It is an arithmetic number, because the mean of its divisors is an integer number (6131433).

Almost surely, 2^268826688 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 268826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429200310).

268826688 is an abundant number, since it is smaller than the sum of its proper divisors (589573932).

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

268826688 is a wasteful number, since it uses less digits than its factorization.

268826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4007 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 268826688 is about 16395.9351059950. The cubic root of 268826688 is about 645.3928164251.

The spelling of 268826688 in words is "two hundred sixty-eight million, eight hundred twenty-six thousand, six hundred eighty-eight".