268941000 has 128 divisors (see below), whose sum is σ = 845919360. Its totient is φ = 71136000.

The previous prime is 268940981. The next prime is 268941019. The reversal of 268941000 is 149862.

It is an interprime number because it is at equal distance from previous prime (268940981) and next prime (268941019).

It is a super-2 number, since 2×268941000² = 144658522962000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 470715 + ... + 471285.

It is an arithmetic number, because the mean of its divisors is an integer number (6608745).

Almost surely, 2^268941000 is an apocalyptic number.

268941000 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 268941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422959680).

268941000 is an abundant number, since it is smaller than the sum of its proper divisors (576978360).

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

268941000 is a wasteful number, since it uses less digits than its factorization.

268941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 268941000 is about 16399.4207214767. The cubic root of 268941000 is about 645.4842826525.

The spelling of 268941000 in words is "two hundred sixty-eight million, nine hundred forty-one thousand".