268586304 has 112 divisors (see below), whose sum is σ = 815937408. Its totient is φ = 76382208.

The previous prime is 268586291. The next prime is 268586359. The reversal of 268586304 is 403685862.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 452632 + ... + 453224.

Almost surely, 2^268586304 is an apocalyptic number.

268586304 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 268586304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407968704).

268586304 is an abundant number, since it is smaller than the sum of its proper divisors (547351104).

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

268586304 is a wasteful number, since it uses less digits than its factorization.

268586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 268586304 is about 16388.6028690673. The cubic root of 268586304 is about 645.2003896321.

The spelling of 268586304 in words is "two hundred sixty-eight million, five hundred eighty-six thousand, three hundred four".