1006638321 has 16 divisors (see below), whose sum is σ = 1447310144. Its totient is φ = 618663744.

The previous prime is 1006638319. The next prime is 1006638331. The reversal of 1006638321 is 1238366001.

It is not a de Polignac number, because 1006638321 - 2¹ = 1006638319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006638301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14295 + ... + 47091.

It is an arithmetic number, because the mean of its divisors is an integer number (90456884).

Almost surely, 2^1006638321 is an apocalyptic number.

It is an amenable number.

1006638321 is a deficient number, since it is larger than the sum of its proper divisors (440671823).

1006638321 is a wasteful number, since it uses less digits than its factorization.

1006638321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33600.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1006638321 is about 31727.5640571412. The cubic root of 1006638321 is about 1002.2078952774.

The spelling of 1006638321 in words is "one billion, six million, six hundred thirty-eight thousand, three hundred twenty-one".