268939000 has 128 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 93456000.

The previous prime is 268938991. The next prime is 268939019. The reversal of 268939000 is 939862.

268939000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 252469 + ... + 253531.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^268939000 is an apocalyptic number.

268939000 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 268939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

268939000 is an abundant number, since it is smaller than the sum of its proper divisors (448111880).

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

268939000 is a wasteful number, since it uses less digits than its factorization.

268939000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 268939000 is about 16399.3597435997. The cubic root of 268939000 is about 645.4826825843.

The spelling of 268939000 in words is "two hundred sixty-eight million, nine hundred thirty-nine thousand".