10664 has 16 divisors (see below), whose sum is σ = 21120. Its totient is φ = 5040.

The previous prime is 10663. The next prime is 10667. The reversal of 10664 is 46601.

10664 = T₁₇ + T₁₈ + ... + T₄₀.

10664 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×10664² = 227441792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

10664 is an undulating number in base 6.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10664.

It is not an unprimeable number, because it can be changed into a prime (10663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

2¹⁰⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

10664 is a deficient number, since it is larger than the sum of its proper divisors (10456).

10664 is a wasteful number, since it uses less digits than its factorization.

10664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10664 is about 103.2666451474. The cubic root of 10664 is about 22.0110137690.

Subtracting 10664 from its reverse (46601), we obtain a cube (35937 = 33³).

The spelling of 10664 in words is "ten thousand, six hundred sixty-four".