316820 has 48 divisors (see below), whose sum is σ = 795648. Its totient is φ = 103680.

The previous prime is 316819. The next prime is 316847. The reversal of 316820 is 28613.

316820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 316792 and 316801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4304 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (16576).

316820 is a Friedman number, since it can be written as 620*(8^3-1), using all its digits and the basic arithmetic operations.

2³¹⁶⁸²⁰ 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 316820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397824).

316820 is an abundant number, since it is smaller than the sum of its proper divisors (478828).

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

316820 is a wasteful number, since it uses less digits than its factorization.

316820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 316820 is about 562.8676576248. The cubic root of 316820 is about 68.1717113639.

The spelling of 316820 in words is "three hundred sixteen thousand, eight hundred twenty".