268610000 has 50 divisors (see below), whose sum is σ = 650355882. Its totient is φ = 107440000.

The previous prime is 268609993. The next prime is 268610003. The reversal of 268610000 is 16862.

It can be written as a sum of positive squares in 5 ways, for example, as 187032976 + 81577024 = 13676^2 + 9032^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268610003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3431 + ... + 23430.

Almost surely, 2^268610000 is an apocalyptic number.

268610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268610000 is an abundant number, since it is smaller than the sum of its proper divisors (381745882).

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

268610000 is an equidigital number, since it uses as much as digits as its factorization.

268610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26889 (or 26868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 268610000 is about 16389.3257945530. The cubic root of 268610000 is about 645.2193633209.

Adding to 268610000 its reverse (16862), we get a palindrome (268626862).

The spelling of 268610000 in words is "two hundred sixty-eight million, six hundred ten thousand".