268240608 has 72 divisors (see below), whose sum is σ = 764932896. Its totient is φ = 89164800.

The previous prime is 268240589. The next prime is 268240619. The reversal of 268240608 is 806042862.

268240608 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 40 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123048 + ... + 125208.

It is an arithmetic number, because the mean of its divisors is an integer number (10624068).

Almost surely, 2^268240608 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 268240608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382466448).

268240608 is an abundant number, since it is smaller than the sum of its proper divisors (496692288).

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

268240608 is a wasteful number, since it uses less digits than its factorization.

268240608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268240608 is about 16378.0526314944. The cubic root of 268240608 is about 644.9234594590.

The spelling of 268240608 in words is "two hundred sixty-eight million, two hundred forty thousand, six hundred eight".