1024320220 has 96 divisors (see below), whose sum is σ = 2747437056. Its totient is φ = 311462400.

The previous prime is 1024320217. The next prime is 1024320251. The reversal of 1024320220 is 220234201.

It is a junction number, because it is equal to n+sod(n) for n = 1024320194 and 1024320203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55029 + ... + 71251.

It is an arithmetic number, because the mean of its divisors is an integer number (28619136).

Almost surely, 2^1024320220 is an apocalyptic number.

1024320220 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 1024320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373718528).

1024320220 is an abundant number, since it is smaller than the sum of its proper divisors (1723116836).

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

1024320220 is a wasteful number, since it uses less digits than its factorization.

1024320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291 (or 16289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1024320220 is about 32005.0030463989. The cubic root of 1024320220 is about 1008.0418945697.

Adding to 1024320220 its reverse (220234201), we get a palindrome (1244554421).

The spelling of 1024320220 in words is "one billion, twenty-four million, three hundred twenty thousand, two hundred twenty".