268591936 has 56 divisors (see below), whose sum is σ = 553191680. Its totient is φ = 129254400.

The previous prime is 268591931. The next prime is 268591949. The reversal of 268591936 is 639195862.

It is a self number, because there is not a number n which added to its sum of digits gives 268591936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268591931) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 656500 + ... + 656908.

Almost surely, 2^268591936 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 268591936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276595840).

268591936 is an abundant number, since it is smaller than the sum of its proper divisors (284599744).

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

268591936 is a wasteful number, since it uses less digits than its factorization.

268591936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 268591936 is about 16388.7746948941. The cubic root of 268591936 is about 645.2048993473.

The spelling of 268591936 in words is "two hundred sixty-eight million, five hundred ninety-one thousand, nine hundred thirty-six".