268301072 has 80 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 111446016.

The previous prime is 268301057. The next prime is 268301083. The reversal of 268301072 is 270103862.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79679 + ... + 82977.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^268301072 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 268301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

268301072 is an abundant number, since it is smaller than the sum of its proper divisors (350409328).

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

268301072 is a wasteful number, since it uses less digits than its factorization.

268301072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 268301072 is about 16379.8984123834. The cubic root of 268301072 is about 644.9719131251.

The spelling of 268301072 in words is "two hundred sixty-eight million, three hundred one thousand, seventy-two".