311264 has 24 divisors (see below), whose sum is σ = 625968. Its totient is φ = 152320.

The previous prime is 311237. The next prime is 311279. The reversal of 311264 is 462113.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2204 + ... + 2340.

It is an arithmetic number, because the mean of its divisors is an integer number (26082).

2³¹¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

311264 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

311264 is a wasteful number, since it uses less digits than its factorization.

311264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 311264 is about 557.9103870695. The cubic root of 311264 is about 67.7708549968.

Adding to 311264 its reverse (462113), we get a palindrome (773377).

It can be divided in two parts, 311 and 264, that added together give a palindrome (575).

The spelling of 311264 in words is "three hundred eleven thousand, two hundred sixty-four".