312983968 has 48 divisors (see below), whose sum is σ = 675337824. Its totient is φ = 141602560.

The previous prime is 312983963. The next prime is 312983969. The reversal of 312983968 is 869389213.

It is not an unprimeable number, because it can be changed into a prime (312983963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77946 + ... + 81862.

It is an arithmetic number, because the mean of its divisors is an integer number (14069538).

Almost surely, 2^312983968 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 312983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337668912).

312983968 is an abundant number, since it is smaller than the sum of its proper divisors (362353856).

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

312983968 is a wasteful number, since it uses less digits than its factorization.

312983968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4157 counting only the distinct ones).

The product of its digits is 559872, while the sum is 49.

The square root of 312983968 is about 17691.3529160435. The cubic root of 312983968 is about 678.9545411295.

The spelling of 312983968 in words is "three hundred twelve million, nine hundred eighty-three thousand, nine hundred sixty-eight".