268501000 has 32 divisors (see below), whose sum is σ = 628294680. Its totient is φ = 107400000.

The previous prime is 268500977. The next prime is 268501003. The reversal of 268501000 is 105862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33246756 + 235254244 = 5766^2 + 15338^2 .

It is not an unprimeable number, because it can be changed into a prime (268501003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133251 + ... + 135250.

Almost surely, 2^268501000 is an apocalyptic number.

268501000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268501000 is an abundant number, since it is smaller than the sum of its proper divisors (359793680).

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

268501000 is a wasteful number, since it uses less digits than its factorization.

268501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268522 (or 268508 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 268501000 is about 16386.0001220554. Note that the first 3 decimals coincide. The cubic root of 268501000 is about 645.1320763922.

Adding to 268501000 its reverse (105862), we get a palindrome (268606862).

The spelling of 268501000 in words is "two hundred sixty-eight million, five hundred one thousand".