311179968 has 336 divisors, whose sum is σ = 1078406784. Its totient is φ = 87920640.

The previous prime is 311179963. The next prime is 311179993. The reversal of 311179968 is 869971113.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (81648) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (311179963) 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 47 ways as a sum of consecutive naturals, for example, 2908171 + ... + 2908277.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^311179968 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 311179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539203392).

311179968 is an abundant number, since it is smaller than the sum of its proper divisors (767226816).

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

311179968 is a wasteful number, since it uses less digits than its factorization.

311179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 311179968 is about 17640.2938751031. The cubic root of 311179968 is about 677.6475574445.

The spelling of 311179968 in words is "three hundred eleven million, one hundred seventy-nine thousand, nine hundred sixty-eight".