1029844224 has 108 divisors (see below), whose sum is σ = 3144078756. Its totient is φ = 323076096.

The previous prime is 1029844183. The next prime is 1029844243. The reversal of 1029844224 is 4224489201.

1029844224 is a `hidden beast` number, since 102 + 98 + 442 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 946669824 + 83174400 = 30768^2 + 9120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26022 + ... + 52314.

Almost surely, 2^1029844224 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 1029844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572039378).

1029844224 is an abundant number, since it is smaller than the sum of its proper divisors (2114234532).

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

1029844224 is a wasteful number, since it uses less digits than its factorization.

1029844224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26332 (or 26315 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1029844224 is about 32091.1860796699. The cubic root of 1029844224 is about 1009.8507193676.

The spelling of 1029844224 in words is "one billion, twenty-nine million, eight hundred forty-four thousand, two hundred twenty-four".