84816 has 60 divisors (see below), whose sum is σ = 257920. Its totient is φ = 25920.

The previous prime is 84811. The next prime is 84827. The reversal of 84816 is 61848.

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

Its product of digits (1536) is a multiple of the sum of its prime factors (64).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 84816.

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 84816.

It is not an unprimeable number, because it can be changed into a prime (84811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2721 + ... + 2751.

2⁸⁴⁸¹⁶ 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 84816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128960).

84816 is an abundant number, since it is smaller than the sum of its proper divisors (173104).

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

84816 is a wasteful number, since it uses less digits than its factorization.

84816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 84816 is about 291.2318663883. The cubic root of 84816 is about 43.9365476579.

It can be divided in two parts, 84 and 816, that added together give a square (900 = 30²).

The spelling of 84816 in words is "eighty-four thousand, eight hundred sixteen".