268896312 has 96 divisors (see below), whose sum is σ = 770964480. Its totient is φ = 84490560.

The previous prime is 268896283. The next prime is 268896337. The reversal of 268896312 is 213698862.

268896312 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 9 + 631 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116433 + ... + 118719.

It is an arithmetic number, because the mean of its divisors is an integer number (8030880).

Almost surely, 2^268896312 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 268896312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385482240).

268896312 is an abundant number, since it is smaller than the sum of its proper divisors (502068168).

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

268896312 is a wasteful number, since it uses less digits than its factorization.

268896312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2386 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 268896312 is about 16398.0581777234. The cubic root of 268896312 is about 645.4485288385.

The spelling of 268896312 in words is "two hundred sixty-eight million, eight hundred ninety-six thousand, three hundred twelve".