268824096 has 144 divisors (see below), whose sum is σ = 801335808. Its totient is φ = 88646400.

The previous prime is 268824091. The next prime is 268824131. The reversal of 268824096 is 690428862.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (268824091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407361 + ... + 1407551.

It is an arithmetic number, because the mean of its divisors is an integer number (5564832).

Almost surely, 2^268824096 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 268824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400667904).

268824096 is an abundant number, since it is smaller than the sum of its proper divisors (532511712).

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

268824096 is a wasteful number, since it uses less digits than its factorization.

268824096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 268824096 is about 16395.8560618225. The cubic root of 268824096 is about 645.3907421474.

The spelling of 268824096 in words is "two hundred sixty-eight million, eight hundred twenty-four thousand, ninety-six".