12785984 has 42 divisors (see below), whose sum is σ = 26567130. Its totient is φ = 6098176.

The previous prime is 12785963. The next prime is 12785987. The reversal of 12785984 is 48958721.

It can be written as a sum of positive squares in only one way, i.e., 11022400 + 1763584 = 3320^2 + 1328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154007 + ... + 154089.

Almost surely, 2^12785984 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 12785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283565).

12785984 is an abundant number, since it is smaller than the sum of its proper divisors (13781146).

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

12785984 is an frugal number, since it uses more digits than its factorization.

12785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 114 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 12785984 is about 3575.7494319373. The cubic root of 12785984 is about 233.8360065559.

The spelling of 12785984 in words is "twelve million, seven hundred eighty-five thousand, nine hundred eighty-four".