268088064 has 72 divisors (see below), whose sum is σ = 738170160. Its totient is φ = 86274048.

The previous prime is 268088059. The next prime is 268088071. The reversal of 268088064 is 460880862.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16254 + ... + 28290.

Almost surely, 2^268088064 is an apocalyptic number.

268088064 is a gapful number since it is divisible by the number (24) 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 268088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369085080).

268088064 is an abundant number, since it is smaller than the sum of its proper divisors (470082096).

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

268088064 is a wasteful number, since it uses less digits than its factorization.

268088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 268088064 is about 16373.3950053127. The cubic root of 268088064 is about 644.8011838403.

The spelling of 268088064 in words is "two hundred sixty-eight million, eighty-eight thousand, sixty-four".