1033330368 has 112 divisors (see below), whose sum is σ = 3134969600. Its totient is φ = 294257664.

The previous prime is 1033330367. The next prime is 1033330373. The reversal of 1033330368 is 8630333301.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1033330367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 467955 + ... + 470157.

It is an arithmetic number, because the mean of its divisors is an integer number (27990800).

Almost surely, 2^1033330368 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 1033330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567484800).

1033330368 is an abundant number, since it is smaller than the sum of its proper divisors (2101639232).

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

1033330368 is a wasteful number, since it uses less digits than its factorization.

1033330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 1033330368 is about 32145.4564129987. The cubic root of 1033330368 is about 1010.9889238906.

Adding to 1033330368 its reverse (8630333301), we get a palindrome (9663663669).

The spelling of 1033330368 in words is "one billion, thirty-three million, three hundred thirty thousand, three hundred sixty-eight".