12705984 has 168 divisors, whose sum is σ = 40680640. Its totient is φ = 3919104.

The previous prime is 12705983. The next prime is 12705991. The reversal of 12705984 is 48950721.

It is a super-2 number, since 2×12705984² = 322884058816512, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12705983) 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, 295467 + ... + 295509.

Almost surely, 2^12705984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340320).

12705984 is an abundant number, since it is smaller than the sum of its proper divisors (27974656).

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

12705984 is an equidigital number, since it uses as much as digits as its factorization.

12705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12705984 is about 3564.5454128121. The cubic root of 12705984 is about 233.3472934958.

It can be divided in two parts, 12705 and 984, that added together give a square (13689 = 117²).

The spelling of 12705984 in words is "twelve million, seven hundred five thousand, nine hundred eighty-four".