10033808 has 40 divisors (see below), whose sum is σ = 21161592. Its totient is φ = 4589568.

The previous prime is 10033789. The next prime is 10033813. The reversal of 10033808 is 80833001.

It can be written as a sum of positive squares in 4 ways, for example, as 6822544 + 3211264 = 2612^2 + 1792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9566 + ... + 10562.

Almost surely, 2^10033808 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 10033808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580796).

10033808 is an abundant number, since it is smaller than the sum of its proper divisors (11127784).

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

10033808 is a wasteful number, since it uses less digits than its factorization.

10033808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10033808 is about 3167.6186639177. The cubic root of 10033808 is about 215.6859863340.

Adding to 10033808 its reverse (80833001), we get a palindrome (90866809).

The spelling of 10033808 in words is "ten million, thirty-three thousand, eight hundred eight".