268263000 has 192 divisors, whose sum is σ = 930121920. Its totient is φ = 69696000.

The previous prime is 268262993. The next prime is 268263011. The reversal of 268263000 is 362862.

268263000 is a `hidden beast` number, since 26 + 8 + 2 + 630 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368637 + ... + 369363.

It is an arithmetic number, because the mean of its divisors is an integer number (4844385).

Almost surely, 2^268263000 is an apocalyptic number.

268263000 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 268263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465060960).

268263000 is an abundant number, since it is smaller than the sum of its proper divisors (661858920).

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

268263000 is a wasteful number, since it uses less digits than its factorization.

268263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 268263000 is about 16378.7362149831. The cubic root of 268263000 is about 644.9414044480.

The spelling of 268263000 in words is "two hundred sixty-eight million, two hundred sixty-three thousand".