268110336 has 160 divisors (see below), whose sum is σ = 797448960. Its totient is φ = 79478784.

The previous prime is 268110319. The next prime is 268110347. The reversal of 268110336 is 633011862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578841 + ... + 579303.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2^268110336 is an apocalyptic number.

268110336 is a gapful number since it is divisible by the number (26) 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 268110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398724480).

268110336 is an abundant number, since it is smaller than the sum of its proper divisors (529338624).

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

268110336 is a wasteful number, since it uses less digits than its factorization.

268110336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 268110336 is about 16374.0751189189. The cubic root of 268110336 is about 644.8190394335.

The spelling of 268110336 in words is "two hundred sixty-eight million, one hundred ten thousand, three hundred thirty-six".