42816 has 28 divisors (see below), whose sum is σ = 113792. Its totient is φ = 14208.

The previous prime is 42797. The next prime is 42821. The reversal of 42816 is 61824.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 42792 and 42801.

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 42816.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (4064).

2⁴²⁸¹⁶ 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 42816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56896).

42816 is an abundant number, since it is smaller than the sum of its proper divisors (70976).

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

42816 is a wasteful number, since it uses less digits than its factorization.

42816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 42816 is about 206.9202745020. The cubic root of 42816 is about 34.9839382085.

It can be divided in two parts, 428 and 16, that added together give a palindrome (444).

The spelling of 42816 in words is "forty-two thousand, eight hundred sixteen".