320616 has 48 divisors (see below), whose sum is σ = 894660. Its totient is φ = 103680.

The previous prime is 320611. The next prime is 320627. The reversal of 320616 is 616023.

It is a happy number.

320616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 22500 = 546^2 + 150^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320616.

It is not an unprimeable number, because it can be changed into a prime (320611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4356 + ... + 4428.

2³²⁰⁶¹⁶ is an apocalyptic number.

320616 is a gapful number since it is divisible by the number (36) 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 320616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447330).

320616 is an abundant number, since it is smaller than the sum of its proper divisors (574044).

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

320616 is a wasteful number, since it uses less digits than its factorization.

320616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320616 is about 566.2296353954. The cubic root of 320616 is about 68.4428991174.

Subtracting from 320616 its product of nonzero digits (216), we obtain a triangular number (320400 = T₈₀₀).

Adding to 320616 its reverse (616023), we get a palindrome (936639).

The spelling of 320616 in words is "three hundred twenty thousand, six hundred sixteen".