320416 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 138240.

The previous prime is 320401. The next prime is 320417. The reversal of 320416 is 614023.

320416 = T₁₂₈ + T₁₂₉ + ... + T₁₅₈.

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

It is a self number, because there is not a number n which added to its sum of digits gives 320416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320417) by changing a digit.

320416 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 7 ways as a sum of consecutive naturals, for example, 10321 + ... + 10351.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2³²⁰⁴¹⁶ 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 320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

320416 is an abundant number, since it is smaller than the sum of its proper divisors (405344).

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

320416 is a wasteful number, since it uses less digits than its factorization.

320416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 320416 is about 566.0530010520. The cubic root of 320416 is about 68.4286646156.

Subtracting from 320416 its sum of digits (16), we obtain a triangular number (320400 = T₈₀₀).

Adding to 320416 its reverse (614023), we get a palindrome (934439).

The spelling of 320416 in words is "three hundred twenty thousand, four hundred sixteen".