1001644224 has 224 divisors, whose sum is σ = 3238195200. Its totient is φ = 267079680.

The previous prime is 1001644211. The next prime is 1001644229. The reversal of 1001644224 is 4224461001.

It is a happy number.

1001644224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1001644194 and 1001644203.

It is not an unprimeable number, because it can be changed into a prime (1001644229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207842 + ... + 1208670.

Almost surely, 2^1001644224 is an apocalyptic number.

1001644224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619097600).

1001644224 is an abundant number, since it is smaller than the sum of its proper divisors (2236550976).

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

1001644224 is a wasteful number, since it uses less digits than its factorization.

1001644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1001644224 is about 31648.7633881642. The cubic root of 1001644224 is about 1000.5477745549.

The spelling of 1001644224 in words is "one billion, one million, six hundred forty-four thousand, two hundred twenty-four".