296801568 has 288 divisors, whose sum is σ = 1039723776. Its totient is φ = 78465024.

The previous prime is 296801563. The next prime is 296801597. The reversal of 296801568 is 865108692.

296801568 is a `hidden beast` number, since 2 + 9 + 6 + 80 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296801563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715530 + ... + 1715702.

It is an arithmetic number, because the mean of its divisors is an integer number (3610152).

Almost surely, 2^296801568 is an apocalyptic number.

296801568 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 296801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519861888).

296801568 is an abundant number, since it is smaller than the sum of its proper divisors (742922208).

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

296801568 is a wasteful number, since it uses less digits than its factorization.

296801568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 296801568 is about 17227.9298814454. The cubic root of 296801568 is about 667.0454052393.

The spelling of 296801568 in words is "two hundred ninety-six million, eight hundred one thousand, five hundred sixty-eight".