1229824 has 22 divisors (see below), whose sum is σ = 2460494. Its totient is φ = 614400.

The previous prime is 1229807. The next prime is 1229827. The reversal of 1229824 is 4289221.

1229824 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 589824 = 800^2 + 768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1229792 and 1229801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 424 + ... + 1624.

2^1229824 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 1229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230247).

1229824 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1229824 is an equidigital number, since it uses as much as digits as its factorization.

1229824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1203 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 1229824 is about 1108.9743008745. The cubic root of 1229824 is about 107.1390163279.

The spelling of 1229824 in words is "one million, two hundred twenty-nine thousand, eight hundred twenty-four".