268347816 has 224 divisors, whose sum is σ = 849916800. Its totient is φ = 78693120.

The previous prime is 268347803. The next prime is 268347841. The reversal of 268347816 is 618743862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3015100 + ... + 3015188.

Almost surely, 2^268347816 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 268347816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424958400).

268347816 is an abundant number, since it is smaller than the sum of its proper divisors (581568984).

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

268347816 is a wasteful number, since it uses less digits than its factorization.

268347816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 268347816 is about 16381.3252211169. The cubic root of 268347816 is about 645.0093670895.

The spelling of 268347816 in words is "two hundred sixty-eight million, three hundred forty-seven thousand, eight hundred sixteen".