296745120 has 240 divisors, whose sum is σ = 1197237888. Its totient is φ = 67806720.

The previous prime is 296745109. The next prime is 296745121. The reversal of 296745120 is 21547692.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (296745121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89085 + ... + 92355.

Almost surely, 2^296745120 is an apocalyptic number.

296745120 is a gapful number since it is divisible by the number (20) 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 296745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598618944).

296745120 is an abundant number, since it is smaller than the sum of its proper divisors (900492768).

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

296745120 is a wasteful number, since it uses less digits than its factorization.

296745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 296745120 is about 17226.2915335832. The cubic root of 296745120 is about 667.0031146200.

The spelling of 296745120 in words is "two hundred ninety-six million, seven hundred forty-five thousand, one hundred twenty".