268998000 has 160 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 70892800.

The previous prime is 268997947. The next prime is 268998011. The reversal of 268998000 is 899862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641791 + ... + 642209.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^268998000 is an apocalyptic number.

268998000 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 268998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

268998000 is an abundant number, since it is smaller than the sum of its proper divisors (608445840).

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

268998000 is a wasteful number, since it uses less digits than its factorization.

268998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 268998000 is about 16401.1584956673. The cubic root of 268998000 is about 645.5298812597.

The spelling of 268998000 in words is "two hundred sixty-eight million, nine hundred ninety-eight thousand".