268854768 has 240 divisors, whose sum is σ = 967750560. Its totient is φ = 70834176.

The previous prime is 268854767. The next prime is 268854787. The reversal of 268854768 is 867458862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268854763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274696 + ... + 275672.

It is an arithmetic number, because the mean of its divisors is an integer number (4032294).

Almost surely, 2^268854768 is an apocalyptic number.

268854768 is a gapful number since it is divisible by the number (28) 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 268854768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483875280).

268854768 is an abundant number, since it is smaller than the sum of its proper divisors (698895792).

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

268854768 is a wasteful number, since it uses less digits than its factorization.

268854768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 268854768 is about 16396.7913934404. The cubic root of 268854768 is about 645.4152869115.

The spelling of 268854768 in words is "two hundred sixty-eight million, eight hundred fifty-four thousand, seven hundred sixty-eight".