8830801 has 16 divisors (see below), whose sum is σ = 10792960. Its totient is φ = 7056720.

The previous prime is 8830741. The next prime is 8830813. The reversal of 8830801 is 1080388.

It is a 3-Lehmer number, since φ(8830801) divides (8830801-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 8830801 - 2¹¹ = 8828753 is a prime.

It is a deceptive number, since it divides R_8830800.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8830801.

It is not an unprimeable number, because it can be changed into a prime (8830891) 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 15 ways as a sum of consecutive naturals, for example, 8416 + ... + 9406.

It is an arithmetic number, because the mean of its divisors is an integer number (674560).

It is a Poulet number, since it divides 2^8830800-1.

Almost surely, 2^8830801 is an apocalyptic number.

It is an amenable number.

8830801 is a deficient number, since it is larger than the sum of its proper divisors (1962159).

8830801 is a wasteful number, since it uses less digits than its factorization.

8830801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 8830801 is about 2971.6663675453. Note that the first 3 decimals coincide. The cubic root of 8830801 is about 206.6966157892.

The spelling of 8830801 in words is "eight million, eight hundred thirty thousand, eight hundred one".