1024840000 has 70 divisors (see below), whose sum is σ = 2541369314. Its totient is φ = 409920000.

The previous prime is 1024839997. The next prime is 1024840007. The reversal of 1024840000 is 484201.

It can be written as a sum of positive squares in 5 ways, for example, as 579461184 + 445378816 = 24072^2 + 21104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1024840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27190 + ... + 52810.

Almost surely, 2^1024840000 is an apocalyptic number.

1024840000 is a gapful number since it is divisible by the number (10) 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 1024840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270684657).

1024840000 is an abundant number, since it is smaller than the sum of its proper divisors (1516529314).

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

1024840000 is an frugal number, since it uses more digits than its factorization.

1024840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25653 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1024840000 is about 32013.1223094530. The cubic root of 1024840000 is about 1008.2123723184.

The spelling of 1024840000 in words is "one billion, twenty-four million, eight hundred forty thousand".