311680 has 32 divisors (see below), whose sum is σ = 746640. Its totient is φ = 124416.

The previous prime is 311677. The next prime is 311681. The reversal of 311680 is 86113.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397 + ... + 883.

2³¹¹⁶⁸⁰ 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 311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373320).

311680 is an abundant number, since it is smaller than the sum of its proper divisors (434960).

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

311680 is an equidigital number, since it uses as much as digits as its factorization.

311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 311680 is about 558.2830823158. The cubic root of 311680 is about 67.8010331578.

Adding to 311680 its reverse (86113), we get a palindrome (397793).

It can be divided in two parts, 31 and 1680, that added together give a triangular number (1711 = T₅₈).

The spelling of 311680 in words is "three hundred eleven thousand, six hundred eighty".