1006804801 has 8 divisors (see below), whose sum is σ = 1034885160. Its totient is φ = 979060992.

The previous prime is 1006804781. The next prime is 1006804847. The reversal of 1006804801 is 1084086001.

It can be written as a sum of positive squares in 4 ways, for example, as 289850625 + 716954176 = 17025^2 + 26776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006804801 - 2²⁷ = 872587073 is a prime.

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 1006804801.

It is not an unprimeable number, because it can be changed into a prime (1006804501) 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 7 ways as a sum of consecutive naturals, for example, 78066 + ... + 90043.

It is an arithmetic number, because the mean of its divisors is an integer number (129360645).

Almost surely, 2^1006804801 is an apocalyptic number.

It is an amenable number.

1006804801 is a deficient number, since it is larger than the sum of its proper divisors (28080359).

1006804801 is a wasteful number, since it uses less digits than its factorization.

1006804801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168275.

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

The square root of 1006804801 is about 31730.1875349012. The cubic root of 1006804801 is about 1002.2631413275.

The spelling of 1006804801 in words is "one billion, six million, eight hundred four thousand, eight hundred one".