311880 has 64 divisors (see below), whose sum is σ = 984960. Its totient is φ = 78848.

The previous prime is 311869. The next prime is 311881. The reversal of 311880 is 88113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (311881) by changing a digit.

311880 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, 2704 + ... + 2816.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2³¹¹⁸⁸⁰ is an apocalyptic number.

311880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

311880 is an abundant number, since it is smaller than the sum of its proper divisors (673080).

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

311880 is a wasteful number, since it uses less digits than its factorization.

311880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 311880 is about 558.4621741891. The cubic root of 311880 is about 67.8155323313.

Adding to 311880 its reverse (88113), we get a palindrome (399993).

The spelling of 311880 in words is "three hundred eleven thousand, eight hundred eighty".