268635072 has 112 divisors (see below), whose sum is σ = 753872000. Its totient is φ = 84188160.

The previous prime is 268635049. The next prime is 268635077. The reversal of 268635072 is 270536862.

It is a self number, because there is not a number n which added to its sum of digits gives 268635072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268635077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769554 + ... + 769902.

It is an arithmetic number, because the mean of its divisors is an integer number (6731000).

Almost surely, 2^268635072 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 268635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376936000).

268635072 is an abundant number, since it is smaller than the sum of its proper divisors (485236928).

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

268635072 is a wasteful number, since it uses less digits than its factorization.

268635072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 268635072 is about 16390.0906647889. The cubic root of 268635072 is about 645.2394375755.

The spelling of 268635072 in words is "two hundred sixty-eight million, six hundred thirty-five thousand, seventy-two".