311995968 has 112 divisors (see below), whose sum is σ = 888943104. Its totient is φ = 96215040.

The previous prime is 311995967. The next prime is 311995973. The reversal of 311995968 is 869599113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 311995968.

It is not an unprimeable number, because it can be changed into a prime (311995963) 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, 198321 + ... + 199887.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^311995968 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 311995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444471552).

311995968 is an abundant number, since it is smaller than the sum of its proper divisors (576947136).

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

311995968 is a wasteful number, since it uses less digits than its factorization.

311995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1650 counting only the distinct ones).

The product of its digits is 524880, while the sum is 51.

The square root of 311995968 is about 17663.4075987619. The cubic root of 311995968 is about 678.2393669312.

The spelling of 311995968 in words is "three hundred eleven million, nine hundred ninety-five thousand, nine hundred sixty-eight".