10680 has 32 divisors (see below), whose sum is σ = 32400. Its totient is φ = 2816.

The previous prime is 10667. The next prime is 10687. The reversal of 10680 is 8601.

10680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10680² = 228124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687) 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 7 ways as a sum of consecutive naturals, for example, 76 + ... + 164.

2¹⁰⁶⁸⁰ is an apocalyptic number.

10680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10680 is the 60-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200).

10680 is an abundant number, since it is smaller than the sum of its proper divisors (21720).

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

10680 is a wasteful number, since it uses less digits than its factorization.

10680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10680 is about 103.3440854621. The cubic root of 10680 is about 22.0220165271.

The spelling of 10680 in words is "ten thousand, six hundred eighty".