311316864 has 64 divisors (see below), whose sum is σ = 828843840. Its totient is φ = 103533056.

The previous prime is 311316847. The next prime is 311316871. The reversal of 311316864 is 468613113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261679 + ... + 262865.

It is an arithmetic number, because the mean of its divisors is an integer number (12950685).

Almost surely, 2^311316864 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 311316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414421920).

311316864 is an abundant number, since it is smaller than the sum of its proper divisors (517526976).

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

311316864 is a wasteful number, since it uses less digits than its factorization.

311316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1875 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 311316864 is about 17644.1736559126. The cubic root of 311316864 is about 677.7469143540.

Adding to 311316864 its reverse (468613113), we get a palindrome (779929977).

The spelling of 311316864 in words is "three hundred eleven million, three hundred sixteen thousand, eight hundred sixty-four".