296800140 has 192 divisors, whose sum is σ = 1077027840. Its totient is φ = 59304960.

The previous prime is 296800129. The next prime is 296800193. The reversal of 296800140 is 41008692.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 296800098 and 296800107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102310 + ... + 105170.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2^296800140 is an apocalyptic number.

296800140 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 296800140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538513920).

296800140 is an abundant number, since it is smaller than the sum of its proper divisors (780227700).

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

296800140 is a wasteful number, since it uses less digits than its factorization.

296800140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 296800140 is about 17227.8884370662. Note that the first 3 decimals coincide. The cubic root of 296800140 is about 667.0443354535.

The spelling of 296800140 in words is "two hundred ninety-six million, eight hundred thousand, one hundred forty".