268807248 has 100 divisors (see below), whose sum is σ = 782488608. Its totient is φ = 89087040.

The previous prime is 268807229. The next prime is 268807261. The reversal of 268807248 is 842708862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272965 + ... + 273947.

Almost surely, 2^268807248 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 268807248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391244304).

268807248 is an abundant number, since it is smaller than the sum of its proper divisors (513681360).

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

268807248 is a wasteful number, since it uses less digits than its factorization.

268807248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 268807248 is about 16395.3422654118. The cubic root of 268807248 is about 645.3772590178.

The spelling of 268807248 in words is "two hundred sixty-eight million, eight hundred seven thousand, two hundred forty-eight".