268686306 has 60 divisors (see below), whose sum is σ = 679248102. Its totient is φ = 76755168.

The previous prime is 268686289. The next prime is 268686307. The reversal of 268686306 is 603686862.

268686306 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 8 + 630 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203319081 + 65367225 = 14259^2 + 8085^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268686307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40110 + ... + 46326.

Almost surely, 2^268686306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268686306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339624051).

268686306 is an abundant number, since it is smaller than the sum of its proper divisors (410561796).

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

268686306 is an equidigital number, since it uses as much as digits as its factorization.

268686306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 268686306 is about 16391.6535468512. The cubic root of 268686306 is about 645.2804549251.

The spelling of 268686306 in words is "two hundred sixty-eight million, six hundred eighty-six thousand, three hundred six".