268267688 has 64 divisors (see below), whose sum is σ = 575232000. Its totient is φ = 116266752.

The previous prime is 268267687. The next prime is 268267709. The reversal of 268267688 is 886762862.

It is not an unprimeable number, because it can be changed into a prime (268267687) 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 15 ways as a sum of consecutive naturals, for example, 250418 + ... + 251486.

It is an arithmetic number, because the mean of its divisors is an integer number (8988000).

Almost surely, 2^268267688 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 268267688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287616000).

268267688 is an abundant number, since it is smaller than the sum of its proper divisors (306964312).

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

268267688 is a wasteful number, since it uses less digits than its factorization.

268267688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 53.

The square root of 268267688 is about 16378.8793267427. The cubic root of 268267688 is about 644.9451612932.

The spelling of 268267688 in words is "two hundred sixty-eight million, two hundred sixty-seven thousand, six hundred eighty-eight".