12825984 has 64 divisors (see below), whose sum is σ = 34467840. Its totient is φ = 4225536.

The previous prime is 12825979. The next prime is 12825991. The reversal of 12825984 is 48952821.

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

It is a super-4 number, since 4×12825984⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48637 + ... + 48899.

It is an arithmetic number, because the mean of its divisors is an integer number (538560).

Almost surely, 2^12825984 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 12825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233920).

12825984 is an abundant number, since it is smaller than the sum of its proper divisors (21641856).

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

12825984 is a wasteful number, since it uses less digits than its factorization.

12825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 12825984 is about 3581.3382973408. The cubic root of 12825984 is about 234.0795988971.

The spelling of 12825984 in words is "twelve million, eight hundred twenty-five thousand, nine hundred eighty-four".