10005664 has 12 divisors (see below), whose sum is σ = 19698714. Its totient is φ = 5002816.

The previous prime is 10005661. The next prime is 10005679. The reversal of 10005664 is 46650001.

It can be written as a sum of positive squares in only one way, i.e., 5253264 + 4752400 = 2292^2 + 2180^2 .

It is a super-2 number, since 2×10005664² = 200226624161792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156307 + ... + 156370.

Almost surely, 2^10005664 is an apocalyptic number.

It is an amenable number.

10005664 is a deficient number, since it is larger than the sum of its proper divisors (9693050).

10005664 is an equidigital number, since it uses as much as digits as its factorization.

10005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312687 (or 312679 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10005664 is about 3163.1730904268. The cubic root of 10005664 is about 215.4841370530.

Adding to 10005664 its reverse (46650001), we get a palindrome (56655665).

The spelling of 10005664 in words is "ten million, five thousand, six hundred sixty-four".