311904 has 72 divisors (see below), whose sum is σ = 960120. Its totient is φ = 98496.

The previous prime is 311897. The next prime is 311951. The reversal of 311904 is 409113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

311904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

311904 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 11 ways as a sum of consecutive naturals, for example, 16407 + ... + 16425.

It is an arithmetic number, because the mean of its divisors is an integer number (13335).

2³¹¹⁹⁰⁴ 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 311904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060).

311904 is an abundant number, since it is smaller than the sum of its proper divisors (648216).

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

311904 is a wasteful number, since it uses less digits than its factorization.

311904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 311904 is about 558.4836613546. The cubic root of 311904 is about 67.8172718155.

The spelling of 311904 in words is "three hundred eleven thousand, nine hundred four".