1020033320 has 64 divisors (see below), whose sum is σ = 2434050000. Its totient is φ = 383385600.

The previous prime is 1020033317. The next prime is 1020033341. The reversal of 1020033320 is 233300201.

1020033320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 188403076 + 831630244 = 13726^2 + 28838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020033295 and 1020033304.

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, 816056 + ... + 817304.

Almost surely, 2^1020033320 is an apocalyptic number.

1020033320 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 1020033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217025000).

1020033320 is an abundant number, since it is smaller than the sum of its proper divisors (1414016680).

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

1020033320 is a wasteful number, since it uses less digits than its factorization.

1020033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2474 counting only the distinct ones).

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

The square root of 1020033320 is about 31937.9604859171. The cubic root of 1020033320 is about 1006.6336704436.

Adding to 1020033320 its reverse (233300201), we get a palindrome (1253333521).

The spelling of 1020033320 in words is "one billion, twenty million, thirty-three thousand, three hundred twenty".