268831872 has 224 divisors, whose sum is σ = 833915280. Its totient is φ = 86220288.

The previous prime is 268831867. The next prime is 268831873. The reversal of 268831872 is 278138862.

268831872 is a `hidden beast` number, since 268 + 8 + 318 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (268831873) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4012383 + ... + 4012449.

Almost surely, 2^268831872 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 268831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416957640).

268831872 is an abundant number, since it is smaller than the sum of its proper divisors (565083408).

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

268831872 is an frugal number, since it uses more digits than its factorization.

268831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 268831872 is about 16396.0931931970. The cubic root of 268831872 is about 645.3969649403.

The spelling of 268831872 in words is "two hundred sixty-eight million, eight hundred thirty-one thousand, eight hundred seventy-two".