311808 has 80 divisors (see below), whose sum is σ = 982080.
Its totient is φ = 86016.
The previous prime is 311807. The next prime is 311821. The reversal of 311808 is 808113.
It can be divided in two parts, 3 and 11808, that added together give a palindrome (11811).
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311808.
It is not an unprimeable number, because it can be changed into a prime (311803) 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, 10738 + ... + 10766.
It is an arithmetic number, because the mean of its divisors is an integer number (12276).
2311808 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 311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).
311808 is an abundant number, since it is smaller than the sum of its proper divisors (670272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311808 is an equidigital number, since it uses as much as digits as its factorization.
311808 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 21.
The square root of 311808 is about 558.3977077317.
The cubic root of 311808 is about 67.8103133431.
The spelling of 311808 in words is "three hundred eleven thousand, eight hundred eight".