12793984 has 64 divisors (see below), whose sum is σ = 29620800. Its totient is φ = 5391360.

The previous prime is 12793981. The next prime is 12793993. The reversal of 12793984 is 48939721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12793984.

It is not an unprimeable number, because it can be changed into a prime (12793981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97599 + ... + 97729.

It is an arithmetic number, because the mean of its divisors is an integer number (462825).

Almost surely, 2^12793984 is an apocalyptic number.

12793984 is a gapful number since it is divisible by the number (14) 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 12793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810400).

12793984 is an abundant number, since it is smaller than the sum of its proper divisors (16826816).

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

12793984 is a wasteful number, since it uses less digits than its factorization.

12793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 12793984 is about 3576.8679036274. The cubic root of 12793984 is about 233.8847656251.

The spelling of 12793984 in words is "twelve million, seven hundred ninety-three thousand, nine hundred eighty-four".