311980 has 24 divisors (see below), whose sum is σ = 690480. Its totient is φ = 118080.

The previous prime is 311963. The next prime is 311981. The reversal of 311980 is 89113.

It is not an unprimeable number, because it can be changed into a prime (311981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (28770).

2³¹¹⁹⁸⁰ 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 311980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345240).

311980 is an abundant number, since it is smaller than the sum of its proper divisors (378500).

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

311980 is a wasteful number, since it uses less digits than its factorization.

311980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 311980 is about 558.5516985920. The cubic root of 311980 is about 67.8227795937.

The spelling of 311980 in words is "three hundred eleven thousand, nine hundred eighty".