1002920224 has 48 divisors (see below), whose sum is σ = 2097862200. Its totient is φ = 471066624.

The previous prime is 1002920197. The next prime is 1002920231. The reversal of 1002920224 is 4220292001.

1002920224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 965220624 + 37699600 = 31068^2 + 6140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002920195 and 1002920204.

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, 19732 + ... + 48940.

Almost surely, 2^1002920224 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 1002920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048931100).

1002920224 is an abundant number, since it is smaller than the sum of its proper divisors (1094941976).

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

1002920224 is a wasteful number, since it uses less digits than its factorization.

1002920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29285 (or 29277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1002920224 is about 31668.9157376756. The cubic root of 1002920224 is about 1000.9724620111.

The spelling of 1002920224 in words is "one billion, two million, nine hundred twenty thousand, two hundred twenty-four".