239664768 has 128 divisors (see below), whose sum is σ = 733355520. Its totient is φ = 67931136.

The previous prime is 239664709. The next prime is 239664779. The reversal of 239664768 is 867466932.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 239664768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437871 + ... + 438417.

It is an arithmetic number, because the mean of its divisors is an integer number (5729340).

Almost surely, 2^239664768 is an apocalyptic number.

239664768 is a gapful number since it is divisible by the number (28) 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 239664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366677760).

239664768 is an abundant number, since it is smaller than the sum of its proper divisors (493690752).

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

239664768 is a wasteful number, since it uses less digits than its factorization.

239664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 239664768 is about 15481.1100377202. The cubic root of 239664768 is about 621.1570208759.

The spelling of 239664768 in words is "two hundred thirty-nine million, six hundred sixty-four thousand, seven hundred sixty-eight".