12690 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3312.

The previous prime is 12689. The next prime is 12697. The reversal of 12690 is 9621.

It is a super-2 number, since 2×12690² = 322072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹²⁶⁹⁰ is an apocalyptic number.

12690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

12690 is an abundant number, since it is smaller than the sum of its proper divisors (21870).

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

12690 is a wasteful number, since it uses less digits than its factorization.

12690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12690 is about 112.6499001331. The cubic root of 12690 is about 23.3249402920.

It can be divided in two parts, 126 and 90, that added together give a cube (216 = 6³).

The spelling of 12690 in words is "twelve thousand, six hundred ninety".