320420016 has 120 divisors (see below), whose sum is σ = 1069953840. Its totient is φ = 91542528.

The previous prime is 320419987. The next prime is 320420017. The reversal of 320420016 is 610024023.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (320420017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13600 + ... + 28736.

It is an arithmetic number, because the mean of its divisors is an integer number (8916282).

Almost surely, 2^320420016 is an apocalyptic number.

320420016 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 320420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534976920).

320420016 is an abundant number, since it is smaller than the sum of its proper divisors (749533824).

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

320420016 is a wasteful number, since it uses less digits than its factorization.

320420016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320420016 is about 17900.2797743499. The cubic root of 320420016 is about 684.2895050266.

Adding to 320420016 its reverse (610024023), we get a palindrome (930444039).

It can be divided in two parts, 3204 and 20016, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 320420016 in words is "three hundred twenty million, four hundred twenty thousand, sixteen".