312901368 has 128 divisors (see below), whose sum is σ = 875508480. Its totient is φ = 92574720.

The previous prime is 312901363. The next prime is 312901373. The reversal of 312901368 is 863109213.

It is an interprime number because it is at equal distance from previous prime (312901363) and next prime (312901373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312901363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113388 + ... + 1113668.

It is an arithmetic number, because the mean of its divisors is an integer number (6839910).

Almost surely, 2^312901368 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 312901368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437754240).

312901368 is an abundant number, since it is smaller than the sum of its proper divisors (562607112).

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

312901368 is a wasteful number, since it uses less digits than its factorization.

312901368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 312901368 is about 17689.0182881923. The cubic root of 312901368 is about 678.8948079535.

The spelling of 312901368 in words is "three hundred twelve million, nine hundred one thousand, three hundred sixty-eight".