80224 has 24 divisors (see below), whose sum is σ = 166320. Its totient is φ = 38016.

The previous prime is 80221. The next prime is 80231. The reversal of 80224 is 42208.

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

It is a junction number, because it is equal to n+sod(n) for n = 80198 and 80207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80221) 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 3 ways as a sum of consecutive naturals, for example, 682 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁸⁰²²⁴ 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 80224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

80224 is an abundant number, since it is smaller than the sum of its proper divisors (86096).

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

80224 is a wasteful number, since it uses less digits than its factorization.

80224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 80224 is about 283.2384154736. The cubic root of 80224 is about 43.1288724381.

Subtracting from 80224 its sum of digits (16), we obtain a palindrome (80208).

The spelling of 80224 in words is "eighty thousand, two hundred twenty-four".