12684960 has 144 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 3227136.

The previous prime is 12684943. The next prime is 12684961. The reversal of 12684960 is 6948621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12684961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32929 + ... + 33311.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^12684960 is an apocalyptic number.

12684960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

12684960 is an abundant number, since it is smaller than the sum of its proper divisors (32602464).

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

12684960 is a wasteful number, since it uses less digits than its factorization.

12684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12684960 is about 3561.5951482447. The cubic root of 12684960 is about 233.2185194778.

The spelling of 12684960 in words is "twelve million, six hundred eighty-four thousand, nine hundred sixty".