268717824 has 90 divisors (see below), whose sum is σ = 801329760. Its totient is φ = 89565696.

The previous prime is 268717783. The next prime is 268717831. The reversal of 268717824 is 428717862.

It is a self number, because there is not a number n which added to its sum of digits gives 268717824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14257 + ... + 27215.

It is an arithmetic number, because the mean of its divisors is an integer number (8903664).

Almost surely, 2^268717824 is an apocalyptic number.

268717824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400664880).

268717824 is an abundant number, since it is smaller than the sum of its proper divisors (532611936).

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

268717824 is an equidigital number, since it uses as much as digits as its factorization.

268717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12987 (or 12964 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 268717824 is about 16392.6149225802. The cubic root of 268717824 is about 645.3056852820.

The spelling of 268717824 in words is "two hundred sixty-eight million, seven hundred seventeen thousand, eight hundred twenty-four".