268819296 has 96 divisors (see below), whose sum is σ = 746807040. Its totient is φ = 84432384.

The previous prime is 268819289. The next prime is 268819297. The reversal of 268819296 is 692918862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268819297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534181 + ... + 534683.

It is an arithmetic number, because the mean of its divisors is an integer number (7779240).

Almost surely, 2^268819296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268819296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403520).

268819296 is an abundant number, since it is smaller than the sum of its proper divisors (477987744).

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

268819296 is a wasteful number, since it uses less digits than its factorization.

268819296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 268819296 is about 16395.7096827188. The cubic root of 268819296 is about 645.3869008573.

The spelling of 268819296 in words is "two hundred sixty-eight million, eight hundred nineteen thousand, two hundred ninety-six".