268742208 has 112 divisors (see below), whose sum is σ = 832616064. Its totient is φ = 74895360.

The previous prime is 268742207. The next prime is 268742231. The reversal of 268742208 is 802247862.

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

It is not an unprimeable number, because it can be changed into a prime (268742203) 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, 52666 + ... + 57542.

It is an arithmetic number, because the mean of its divisors is an integer number (7434072).

Almost surely, 2^268742208 is an apocalyptic number.

268742208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416308032).

268742208 is an abundant number, since it is smaller than the sum of its proper divisors (563873856).

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

268742208 is a wasteful number, since it uses less digits than its factorization.

268742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 268742208 is about 16393.3586552604. The cubic root of 268742208 is about 645.3252034735.

The spelling of 268742208 in words is "two hundred sixty-eight million, seven hundred forty-two thousand, two hundred eight".