312995840 has 208 divisors, whose sum is σ = 849242880. Its totient is φ = 110100480.

The previous prime is 312995833. The next prime is 312995843. The reversal of 312995840 is 48599213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312995843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096625 + ... + 10096655.

Almost surely, 2^312995840 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 312995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424621440).

312995840 is an abundant number, since it is smaller than the sum of its proper divisors (536247040).

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

312995840 is a wasteful number, since it uses less digits than its factorization.

312995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 312995840 is about 17691.6884440123. The cubic root of 312995840 is about 678.9631256441.

The spelling of 312995840 in words is "three hundred twelve million, nine hundred ninety-five thousand, eight hundred forty".