268069824 has 168 divisors, whose sum is σ = 869826048. Its totient is φ = 81181440.

The previous prime is 268069819. The next prime is 268069829. The reversal of 268069824 is 428960862.

It is an interprime number because it is at equal distance from previous prime (268069819) and next prime (268069829).

It is a super-2 number, since 2×268069824² = 143722861078781952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 268069824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268069829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170289 + ... + 171855.

It is an arithmetic number, because the mean of its divisors is an integer number (5177536).

Almost surely, 2^268069824 is an apocalyptic number.

268069824 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 268069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434913024).

268069824 is an abundant number, since it is smaller than the sum of its proper divisors (601756224).

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

268069824 is a wasteful number, since it uses less digits than its factorization.

268069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1583 counting only the distinct ones).

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

The square root of 268069824 is about 16372.8379946789. The cubic root of 268069824 is about 644.7865599885.

The spelling of 268069824 in words is "two hundred sixty-eight million, sixty-nine thousand, eight hundred twenty-four".