268727688 has 96 divisors (see below), whose sum is σ = 758160000. Its totient is φ = 85884288.

The previous prime is 268727677. The next prime is 268727731. The reversal of 268727688 is 886727862.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373393 + ... + 374111.

It is an arithmetic number, because the mean of its divisors is an integer number (7897500).

Almost surely, 2^268727688 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 268727688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379080000).

268727688 is an abundant number, since it is smaller than the sum of its proper divisors (489432312).

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

268727688 is a wasteful number, since it uses less digits than its factorization.

268727688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 268727688 is about 16392.9157870099. The cubic root of 268727688 is about 645.3135810706.

The spelling of 268727688 in words is "two hundred sixty-eight million, seven hundred twenty-seven thousand, six hundred eighty-eight".