268569000 has 512 divisors, whose sum is σ = 1123200000. Its totient is φ = 59270400.

The previous prime is 268568987. The next prime is 268569011. The reversal of 268569000 is 965862.

It is a super-2 number, since 2×268569000² = 144258615522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9260986 + ... + 9261014.

It is an arithmetic number, because the mean of its divisors is an integer number (2193750).

Almost surely, 2^268569000 is an apocalyptic number.

268569000 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 268569000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600000).

268569000 is an abundant number, since it is smaller than the sum of its proper divisors (854631000).

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

268569000 is a wasteful number, since it uses less digits than its factorization.

268569000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 268569000 is about 16388.0749327064. The cubic root of 268569000 is about 645.1865333940.

The spelling of 268569000 in words is "two hundred sixty-eight million, five hundred sixty-nine thousand".