268593696 has 144 divisors (see below), whose sum is σ = 891072000. Its totient is φ = 76712832.

The previous prime is 268593691. The next prime is 268593713. The reversal of 268593696 is 696395862.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268593691) 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 23 ways as a sum of consecutive naturals, for example, 97425 + ... + 100143.

It is an arithmetic number, because the mean of its divisors is an integer number (6188000).

Almost surely, 2^268593696 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 268593696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536000).

268593696 is an abundant number, since it is smaller than the sum of its proper divisors (622478304).

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

268593696 is a wasteful number, since it uses less digits than its factorization.

268593696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2731 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 268593696 is about 16388.8283900955. The cubic root of 268593696 is about 645.2063086203.

The spelling of 268593696 in words is "two hundred sixty-eight million, five hundred ninety-three thousand, six hundred ninety-six".