296871120 has 480 divisors, whose sum is σ = 1286917632. Its totient is φ = 59609088.

The previous prime is 296871089. The next prime is 296871131. The reversal of 296871120 is 21178692.

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

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 95 ways as a sum of consecutive naturals, for example, 1506862 + ... + 1507058.

Almost surely, 2^296871120 is an apocalyptic number.

296871120 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 296871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

296871120 is an abundant number, since it is smaller than the sum of its proper divisors (990046512).

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

296871120 is a wasteful number, since it uses less digits than its factorization.

296871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 296871120 is about 17229.9483458309. The cubic root of 296871120 is about 667.0975059507.

It can be divided in two parts, 2968 and 71120, that added together give a cube (74088 = 42³).

The spelling of 296871120 in words is "two hundred ninety-six million, eight hundred seventy-one thousand, one hundred twenty".