268613568 has 84 divisors (see below), whose sum is σ = 774926568. Its totient is φ = 88957440.

The previous prime is 268613563. The next prime is 268613623. The reversal of 268613568 is 865316862.

268613568 is a `hidden beast` number, since 2 + 6 + 86 + 1 + 3 + 568 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268613563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92458 + ... + 95318.

Almost surely, 2^268613568 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 268613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387463284).

268613568 is an abundant number, since it is smaller than the sum of its proper divisors (506313000).

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

268613568 is a wasteful number, since it uses less digits than its factorization.

268613568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3029 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 268613568 is about 16389.4346455270. The cubic root of 268613568 is about 645.2222201672. Note that the first 5 decimals are identical.

The spelling of 268613568 in words is "two hundred sixty-eight million, six hundred thirteen thousand, five hundred sixty-eight".