268364064 has 24 divisors (see below), whose sum is σ = 704455920. Its totient is φ = 89454656.

The previous prime is 268364051. The next prime is 268364087. The reversal of 268364064 is 460463862.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1397634 + ... + 1397825.

It is an arithmetic number, because the mean of its divisors is an integer number (29352330).

Almost surely, 2^268364064 is an apocalyptic number.

268364064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268364064 is an abundant number, since it is smaller than the sum of its proper divisors (436091856).

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

268364064 is a wasteful number, since it uses less digits than its factorization.

268364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795472 (or 2795464 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 268364064 is about 16381.8211441830. The cubic root of 268364064 is about 645.0223848971.

The spelling of 268364064 in words is "two hundred sixty-eight million, three hundred sixty-four thousand, sixty-four".