268017344 has 168 divisors, whose sum is σ = 686165760. Its totient is φ = 101274624.

The previous prime is 268017331. The next prime is 268017349. The reversal of 268017344 is 443710862.

It is not an unprimeable number, because it can be changed into a prime (268017349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7243694 + ... + 7243730.

It is an arithmetic number, because the mean of its divisors is an integer number (4084320).

Almost surely, 2^268017344 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 268017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343082880).

268017344 is an abundant number, since it is smaller than the sum of its proper divisors (418148416).

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

268017344 is a wasteful number, since it uses less digits than its factorization.

268017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 268017344 is about 16371.2352618854. The cubic root of 268017344 is about 644.7444806444.

The spelling of 268017344 in words is "two hundred sixty-eight million, seventeen thousand, three hundred forty-four".