10585664 has 28 divisors (see below), whose sum is σ = 21139404. Its totient is φ = 5259264.

The previous prime is 10585661. The next prime is 10585699. The reversal of 10585664 is 46658501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6553600 + 4032064 = 2560^2 + 2008^2 .

It is a super-2 number, since 2×10585664² = 224112564641792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10585661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11924 + ... + 12780.

Almost surely, 2^10585664 is an apocalyptic number.

It is an amenable number.

10585664 is a deficient number, since it is larger than the sum of its proper divisors (10553740).

10585664 is an equidigital number, since it uses as much as digits as its factorization.

10585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 10585664 is about 3253.5617406160. The cubic root of 10585664 is about 219.5698482054.

The spelling of 10585664 in words is "ten million, five hundred eighty-five thousand, six hundred sixty-four".