268714824 has 96 divisors (see below), whose sum is σ = 791169120. Its totient is φ = 75823104.

The previous prime is 268714813. The next prime is 268714829. The reversal of 268714824 is 428417862.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (268714829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 96232 + ... + 98984.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345).

Almost surely, 2^268714824 is an apocalyptic number.

268714824 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 268714824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395584560).

268714824 is an abundant number, since it is smaller than the sum of its proper divisors (522454296).

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

268714824 is a wasteful number, since it uses less digits than its factorization.

268714824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2848 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 268714824 is about 16392.5234177048. The cubic root of 268714824 is about 645.3032838481.

The spelling of 268714824 in words is "two hundred sixty-eight million, seven hundred fourteen thousand, eight hundred twenty-four".