296304768 has 192 divisors, whose sum is σ = 910802880. Its totient is φ = 92252160.

The previous prime is 296304761. The next prime is 296304773. The reversal of 296304768 is 867403692.

296304768 is a `hidden beast` number, since 2 + 9 + 630 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (296304761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404183 + ... + 1404393.

It is an arithmetic number, because the mean of its divisors is an integer number (4743765).

Almost surely, 2^296304768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455401440).

296304768 is an abundant number, since it is smaller than the sum of its proper divisors (614498112).

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

296304768 is a wasteful number, since it uses less digits than its factorization.

296304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 296304768 is about 17213.5053954736. The cubic root of 296304768 is about 666.6730203839.

The spelling of 296304768 in words is "two hundred ninety-six million, three hundred four thousand, seven hundred sixty-eight".