1033299968 has 48 divisors (see below), whose sum is σ = 2089678500. Its totient is φ = 510754816.

The previous prime is 1033299961. The next prime is 1033299977. The reversal of 1033299968 is 8699923301.

It can be written as a sum of positive squares in 2 ways, for example, as 941753344 + 91546624 = 30688^2 + 9568^2 .

It is not an unprimeable number, because it can be changed into a prime (1033299961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179438 + ... + 185106.

Almost surely, 2^1033299968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044839250).

1033299968 is an abundant number, since it is smaller than the sum of its proper divisors (1056378532).

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

1033299968 is an frugal number, since it uses more digits than its factorization.

1033299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 1033299968 is about 32144.9835588696. The cubic root of 1033299968 is about 1010.9790095509.

The spelling of 1033299968 in words is "one billion, thirty-three million, two hundred ninety-nine thousand, nine hundred sixty-eight".