1284224 has 32 divisors (see below), whose sum is σ = 2611200. Its totient is φ = 628992.

The previous prime is 1284223. The next prime is 1284263. The reversal of 1284224 is 4224821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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

1284224 is a modest number, since divided by 4224 gives 128 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1284224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284223) 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, 10049 + ... + 10175.

It is an arithmetic number, because the mean of its divisors is an integer number (81600).

2^1284224 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 1284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305600).

1284224 is an abundant number, since it is smaller than the sum of its proper divisors (1326976).

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

1284224 is an equidigital number, since it uses as much as digits as its factorization.

1284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 1284224 is about 1133.2360742581. The cubic root of 1284224 is about 108.6960079014.

The spelling of 1284224 in words is "one million, two hundred eighty-four thousand, two hundred twenty-four".