10006628 has 6 divisors (see below), whose sum is σ = 17511606. Its totient is φ = 5003312.

The previous prime is 10006627. The next prime is 10006631. The reversal of 10006628 is 82660001.

It can be written as a sum of positive squares in only one way, i.e., 9193024 + 813604 = 3032^2 + 902^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250825 + ... + 1250832.

It is an arithmetic number, because the mean of its divisors is an integer number (2918601).

Almost surely, 2^10006628 is an apocalyptic number.

It is an amenable number.

10006628 is a deficient number, since it is larger than the sum of its proper divisors (7504978).

10006628 is a wasteful number, since it uses less digits than its factorization.

10006628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501661 (or 2501659 counting only the distinct ones).

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

The square root of 10006628 is about 3163.3254653924. The cubic root of 10006628 is about 215.4910571347.

Adding to 10006628 its reverse (82660001), we get a palindrome (92666629).

The spelling of 10006628 in words is "ten million, six thousand, six hundred twenty-eight".