1073741824 has 31 divisors (see below), whose sum is σ = 2147483647. Its totient is φ = 536870912.

The previous prime is 1073741789. The next prime is 1073741827. The reversal of 1073741824 is 4281473701.

The square root of 1073741824 is 32768.

The cubic root of 1073741824 is 1024.

It is a perfect power (a square, a cube, a 5-th power, a 6-th power, a 10-th power, a 15-th power, a 30-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)³⁰.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=128.

It is a Duffinian number.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1073741827) by changing a digit.

In principle, a polygon with 1073741824 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^1073741824 is an apocalyptic number.

1073741824 is the 32768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073741824

1073741824 is a deficient number, since it is larger than the sum of its proper divisors (1073741823).

1073741824 is an frugal number, since it uses more digits than its factorization.

1073741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 1073741824 in words is "one billion, seventy-three million, seven hundred forty-one thousand, eight hundred twenty-four".