1033320820 has 72 divisors (see below), whose sum is σ = 2530218600. Its totient is φ = 353445120.

The previous prime is 1033320797. The next prime is 1033320851. The reversal of 1033320820 is 280233301.

It is a happy number.

1033320820 is digitally balanced in base 6, 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 4 ways, for example, as 182898576 + 850422244 = 13524^2 + 29162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1033320791 and 1033320800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529206 + ... + 531154.

It is an arithmetic number, because the mean of its divisors is an integer number (35141925).

Almost surely, 2^1033320820 is an apocalyptic number.

1033320820 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 1033320820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265109300).

1033320820 is an abundant number, since it is smaller than the sum of its proper divisors (1496897780).

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

1033320820 is a wasteful number, since it uses less digits than its factorization.

1033320820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1033320820 is about 32145.3079002208. The cubic root of 1033320820 is about 1010.9858100262.

The spelling of 1033320820 in words is "one billion, thirty-three million, three hundred twenty thousand, eight hundred twenty".