268781568 has 192 divisors, whose sum is σ = 809040960. Its totient is φ = 78643200.

The previous prime is 268781549. The next prime is 268781573. The reversal of 268781568 is 865187862.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 268781568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770896 + ... + 2770992.

It is an arithmetic number, because the mean of its divisors is an integer number (4213755).

Almost surely, 2^268781568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404520480).

268781568 is an abundant number, since it is smaller than the sum of its proper divisors (540259392).

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

268781568 is a wasteful number, since it uses less digits than its factorization.

268781568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 268781568 is about 16394.5590974567. The cubic root of 268781568 is about 645.3567067250.

It can be divided in two parts, 2687 and 81568, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 268781568 in words is "two hundred sixty-eight million, seven hundred eighty-one thousand, five hundred sixty-eight".