10660 has 24 divisors (see below), whose sum is σ = 24696. Its totient is φ = 3840.

The previous prime is 10657. The next prime is 10663. The reversal of 10660 is 6601.

10660 = T₁ + T₂ + ... + T₃₉.

10660 is nontrivially palindromic in base 3.

10660 is a nontrivial binomial coefficient, being equal to C(41, 3).

It is an interprime number because it is at equal distance from previous prime (10657) and next prime (10663).

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 10404 = 16^2 + 102^2 .

It is a super-2 number, since 2×10660² = 227271200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10660.

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

It is the 39-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (1029).

2¹⁰⁶⁶⁰ is an apocalyptic number.

10660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10660 is the 52-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348).

10660 is an abundant number, since it is smaller than the sum of its proper divisors (14036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10660 is a wasteful number, since it uses less digits than its factorization.

10660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10660 is about 103.2472759931. The cubic root of 10660 is about 22.0082613601.

10660 divided by its sum of digits (13) gives a triangular number (820 = T₄₀).

The spelling of 10660 in words is "ten thousand, six hundred sixty".