311080 has 64 divisors (see below), whose sum is σ = 881280. Its totient is φ = 96000.

The previous prime is 311041. The next prime is 311099. The reversal of 311080 is 80113.

It is a self number, because there is not a number n which added to its sum of digits gives 311080.

It is a congruent number.

It is an unprimeable number.

311080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3030 + ... + 3130.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2³¹¹⁰⁸⁰ 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 311080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

311080 is an abundant number, since it is smaller than the sum of its proper divisors (570200).

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

311080 is a wasteful number, since it uses less digits than its factorization.

311080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 311080 is about 557.7454616579. The cubic root of 311080 is about 67.7574983871.

Adding to 311080 its reverse (80113), we get a palindrome (391193).

It can be divided in two parts, 31 and 1080, that added together give a palindrome (1111).

The spelling of 311080 in words is "three hundred eleven thousand, eighty".