12984336 has 60 divisors (see below), whose sum is σ = 37335532. Its totient is φ = 4209408.

The previous prime is 12984329. The next prime is 12984347. The reversal of 12984336 is 63348921.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 1040400 = 3456^2 + 1020^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 12984336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4110 + ... + 6546.

Almost surely, 2^12984336 is an apocalyptic number.

12984336 is a gapful number since it is divisible by the number (16) 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 12984336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667766).

12984336 is an abundant number, since it is smaller than the sum of its proper divisors (24351196).

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

12984336 is a wasteful number, since it uses less digits than its factorization.

12984336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2479 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12984336 is about 3603.3784147658. The cubic root of 12984336 is about 235.0389915684.

The spelling of 12984336 in words is "twelve million, nine hundred eighty-four thousand, three hundred thirty-six".