1024320000 has 400 divisors, whose sum is σ = 3758321952. Its totient is φ = 245760000.

The previous prime is 1024319987. The next prime is 1024320041. The reversal of 1024320000 is 234201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559952 + ... + 10560048.

Almost surely, 2^1024320000 is an apocalyptic number.

1024320000 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 1024320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879160976).

1024320000 is an abundant number, since it is smaller than the sum of its proper divisors (2734001952).

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

1024320000 is an frugal number, since it uses more digits than its factorization.

1024320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1024320000 is about 32004.9996094360. Note that the first 3 decimals coincide. The cubic root of 1024320000 is about 1008.0418224018.

Adding to 1024320000 its reverse (234201), we get a palindrome (1024554201).

The spelling of 1024320000 in words is "one billion, twenty-four million, three hundred twenty thousand".