268248834 has 120 divisors (see below), whose sum is σ = 715080960. Its totient is φ = 74907504.

The previous prime is 268248823. The next prime is 268248889. The reversal of 268248834 is 438842862.

It is a self number, because there is not a number n which added to its sum of digits gives 268248834.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 372727 + ... + 373445.

It is an arithmetic number, because the mean of its divisors is an integer number (5959008).

Almost surely, 2^268248834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268248834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357540480).

268248834 is an abundant number, since it is smaller than the sum of its proper divisors (446832126).

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

268248834 is a wasteful number, since it uses less digits than its factorization.

268248834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 778 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 268248834 is about 16378.3037583261. The cubic root of 268248834 is about 644.9300519063.

The spelling of 268248834 in words is "two hundred sixty-eight million, two hundred forty-eight thousand, eight hundred thirty-four".