268891000 has 128 divisors (see below), whose sum is σ = 727833600. Its totient is φ = 91075200.

The previous prime is 268890977. The next prime is 268891019. The reversal of 268891000 is 198862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748821 + ... + 749179.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2^268891000 is an apocalyptic number.

268891000 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 268891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363916800).

268891000 is an abundant number, since it is smaller than the sum of its proper divisors (458942600).

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

268891000 is a wasteful number, since it uses less digits than its factorization.

268891000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 268891000 is about 16397.8962065260. The cubic root of 268891000 is about 645.4442785693. Note that the first 3 decimals are identical.

It can be divided in two parts, 26889 and 1000, that added together give a square (27889 = 167²).

The spelling of 268891000 in words is "two hundred sixty-eight million, eight hundred ninety-one thousand".