1023030320 has 80 divisors (see below), whose sum is σ = 2566710720. Its totient is φ = 376968192.

The previous prime is 1023030311. The next prime is 1023030343. The reversal of 1023030320 is 230303201.

1023030320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1023030295 and 1023030304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921926 + ... + 923034.

It is an arithmetic number, because the mean of its divisors is an integer number (32083884).

Almost surely, 2^1023030320 is an apocalyptic number.

1023030320 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 1023030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283355360).

1023030320 is an abundant number, since it is smaller than the sum of its proper divisors (1543680400).

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

1023030320 is a wasteful number, since it uses less digits than its factorization.

1023030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1023030320 is about 31984.8451614198. The cubic root of 1023030320 is about 1007.6185831232.

Adding to 1023030320 its reverse (230303201), we get a palindrome (1253333521).

The spelling of 1023030320 in words is "one billion, twenty-three million, thirty thousand, three hundred twenty".