311840 has 24 divisors (see below), whose sum is σ = 737100. Its totient is φ = 124672.

The previous prime is 311827. The next prime is 311867. The reversal of 311840 is 48113.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 2704 = 556^2 + 52^2 .

It is an unprimeable number.

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, 815 + ... + 1134.

2³¹¹⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

311840 is an abundant number, since it is smaller than the sum of its proper divisors (425260).

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

311840 is a wasteful number, since it uses less digits than its factorization.

311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 311840 is about 558.4263604093. The cubic root of 311840 is about 67.8126329926.

Adding to 311840 its reverse (48113), we get a palindrome (359953).

The spelling of 311840 in words is "three hundred eleven thousand, eight hundred forty".