268661000 has 32 divisors (see below), whose sum is σ = 628669080. Its totient is φ = 107464000.

The previous prime is 268660993. The next prime is 268661011. The reversal of 268661000 is 166862.

It can be written as a sum of positive squares in 4 ways, for example, as 94051204 + 174609796 = 9698^2 + 13214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133331 + ... + 135330.

Almost surely, 2^268661000 is an apocalyptic number.

268661000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268661000 is an abundant number, since it is smaller than the sum of its proper divisors (360008080).

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

268661000 is a wasteful number, since it uses less digits than its factorization.

268661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268682 (or 268668 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 268661000 is about 16390.8816114326. The cubic root of 268661000 is about 645.2601958850.

The spelling of 268661000 in words is "two hundred sixty-eight million, six hundred sixty-one thousand".