1024224 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 332672.

The previous prime is 1024207. The next prime is 1024249. The reversal of 1024224 is 4224201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1024224³ = 3223339863671734272, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4399 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2^1024224 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 1024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1024224 is an abundant number, since it is smaller than the sum of its proper divisors (1733664).

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

1024224 is a wasteful number, since it uses less digits than its factorization.

1024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1024224 is about 1012.0395249199. The cubic root of 1024224 is about 100.8010329952.

Adding to 1024224 its reverse (4224201), we get a palindrome (5248425).

The spelling of 1024224 in words is "one million, twenty-four thousand, two hundred twenty-four".