128224 has 12 divisors (see below), whose sum is σ = 252504. Its totient is φ = 64096.

The previous prime is 128221. The next prime is 128237. The reversal of 128224 is 422821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1972 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (21042).

2¹²⁸²²⁴ is an apocalyptic number.

It is an amenable number.

128224 is a deficient number, since it is larger than the sum of its proper divisors (124280).

128224 is an equidigital number, since it uses as much as digits as its factorization.

128224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4009 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 128224 is about 358.0837890774. The cubic root of 128224 is about 50.4262230214.

The spelling of 128224 in words is "one hundred twenty-eight thousand, two hundred twenty-four".