311664 has 40 divisors (see below), whose sum is σ = 829312. Its totient is φ = 100800.

The previous prime is 311659. The next prime is 311677. The reversal of 311664 is 466113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311664.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311664.

It is an unprimeable number.

311664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989 + ... + 2139.

2³¹¹⁶⁶⁴ 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 311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414656).

311664 is an abundant number, since it is smaller than the sum of its proper divisors (517648).

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

311664 is a wasteful number, since it uses less digits than its factorization.

311664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 311664 is about 558.2687524840. The cubic root of 311664 is about 67.7998729560.

Adding to 311664 its reverse (466113), we get a palindrome (777777).

Subtracting 311664 from its reverse (466113), we obtain a square (154449 = 393²).

The spelling of 311664 in words is "three hundred eleven thousand, six hundred sixty-four".