316320 has 48 divisors (see below), whose sum is σ = 997920. Its totient is φ = 84224.

The previous prime is 316301. The next prime is 316321. The reversal of 316320 is 23613.

316320 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 316320.

It is not an unprimeable number, because it can be changed into a prime (316321) 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, 151 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³¹⁶³²⁰ is an apocalyptic number.

316320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

316320 is an abundant number, since it is smaller than the sum of its proper divisors (681600).

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

316320 is a wasteful number, since it uses less digits than its factorization.

316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 316320 is about 562.4233281079. The cubic root of 316320 is about 68.1358299984.

Adding to 316320 its reverse (23613), we get a palindrome (339933).

It can be divided in two parts, 316 and 320, that added together give a palindrome (636).

The spelling of 316320 in words is "three hundred sixteen thousand, three hundred twenty".