268657000 has 128 divisors (see below), whose sum is σ = 662631840. Its totient is φ = 101836800.

The previous prime is 268656937. The next prime is 268657007. The reversal of 268657000 is 756862.

It can be written as a sum of positive squares in 16 ways, for example, as 7963684 + 260693316 = 2822^2 + 16146^2 .

It is a super-3 number, since 3×268657000³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (268657007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960932 + ... + 1961068.

Almost surely, 2^268657000 is an apocalyptic number.

268657000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331315920).

268657000 is an abundant number, since it is smaller than the sum of its proper divisors (393974840).

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

268657000 is a wasteful number, since it uses less digits than its factorization.

268657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 268657000 is about 16390.7595919164. The cubic root of 268657000 is about 645.2569935177.

The spelling of 268657000 in words is "two hundred sixty-eight million, six hundred fifty-seven thousand".