268535064 has 128 divisors (see below), whose sum is σ = 796262400. Its totient is φ = 73879680.

The previous prime is 268535053. The next prime is 268535081. The reversal of 268535064 is 460535862.

It is a super-2 number, since 2×268535064² = 144222161194968192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560377 + ... + 560855.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2^268535064 is an apocalyptic number.

268535064 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 268535064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398131200).

268535064 is an abundant number, since it is smaller than the sum of its proper divisors (527727336).

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

268535064 is a wasteful number, since it uses less digits than its factorization.

268535064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 268535064 is about 16387.0395129810. The cubic root of 268535064 is about 645.1593572959.

The spelling of 268535064 in words is "two hundred sixty-eight million, five hundred thirty-five thousand, sixty-four".