296983120 has 160 divisors (see below), whose sum is σ = 821376000. Its totient is φ = 99800064.

The previous prime is 296983117. The next prime is 296983139. The reversal of 296983120 is 21389692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2167692 + ... + 2167828.

It is an arithmetic number, because the mean of its divisors is an integer number (5133600).

Almost surely, 2^296983120 is an apocalyptic number.

296983120 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 296983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410688000).

296983120 is an abundant number, since it is smaller than the sum of its proper divisors (524392880).

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

296983120 is a wasteful number, since it uses less digits than its factorization.

296983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 296983120 is about 17233.1981941832. The cubic root of 296983120 is about 667.1813869367.

The spelling of 296983120 in words is "two hundred ninety-six million, nine hundred eighty-three thousand, one hundred twenty".