268800260 has 24 divisors (see below), whose sum is σ = 597686040. Its totient is φ = 101195264.

The previous prime is 268800229. The next prime is 268800263. The reversal of 268800260 is 62008862.

It is a happy number.

268800260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107205316 + 161594944 = 10354^2 + 12712^2 .

It is not an unprimeable number, because it can be changed into a prime (268800263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394955 + ... + 395634.

It is an arithmetic number, because the mean of its divisors is an integer number (24903585).

Almost surely, 2^268800260 is an apocalyptic number.

268800260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268800260 is an abundant number, since it is smaller than the sum of its proper divisors (328885780).

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

268800260 is a wasteful number, since it uses less digits than its factorization.

268800260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790615 (or 790613 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 268800260 is about 16395.1291547215. The cubic root of 268800260 is about 645.3716664908.

The spelling of 268800260 in words is "two hundred sixty-eight million, eight hundred thousand, two hundred sixty".