268959936 has 112 divisors (see below), whose sum is σ = 817254144. Its totient is φ = 76471296.

The previous prime is 268959917. The next prime is 268959973. The reversal of 268959936 is 639959862.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393451 + ... + 394133.

It is an arithmetic number, because the mean of its divisors is an integer number (7296912).

Almost surely, 2^268959936 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 268959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408627072).

268959936 is an abundant number, since it is smaller than the sum of its proper divisors (548294208).

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

268959936 is a wasteful number, since it uses less digits than its factorization.

268959936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 57.

The square root of 268959936 is about 16399.9980487804. The cubic root of 268959936 is about 645.4994317044.

The spelling of 268959936 in words is "two hundred sixty-eight million, nine hundred fifty-nine thousand, nine hundred thirty-six".