268866756 has 48 divisors (see below), whose sum is σ = 700728000. Its totient is φ = 89150976.

The previous prime is 268866733. The next prime is 268866761. The reversal of 268866756 is 657668862.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14395 + ... + 27293.

It is an arithmetic number, because the mean of its divisors is an integer number (14598500).

Almost surely, 2^268866756 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 268866756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350364000).

268866756 is an abundant number, since it is smaller than the sum of its proper divisors (431861244).

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

268866756 is a wasteful number, since it uses less digits than its factorization.

268866756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105 (or 13097 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 268866756 is about 16397.1569486908. The cubic root of 268866756 is about 645.4248796041.

The spelling of 268866756 in words is "two hundred sixty-eight million, eight hundred sixty-six thousand, seven hundred fifty-six".