311920 has 40 divisors (see below), whose sum is σ = 830304. Its totient is φ = 106752.

The previous prime is 311897. The next prime is 311951. The reversal of 311920 is 29113.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 311894 and 311903.

It is a congruent number.

It is an unprimeable number.

311920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 838.

2³¹¹⁹²⁰ 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 311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152).

311920 is an abundant number, since it is smaller than the sum of its proper divisors (518384).

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

311920 is a wasteful number, since it uses less digits than its factorization.

311920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 311920 is about 558.4979856723. The cubic root of 311920 is about 67.8184314221.

The spelling of 311920 in words is "three hundred eleven thousand, nine hundred twenty".