12840984 has 128 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 3704832.

The previous prime is 12840953. The next prime is 12841007. The reversal of 12840984 is 48904821.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47602 + ... + 47870.

Almost surely, 2^12840984 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 12840984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

12840984 is an abundant number, since it is smaller than the sum of its proper divisors (27983016).

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

12840984 is a wasteful number, since it uses less digits than its factorization.

12840984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12840984 is about 3583.4318746141. The cubic root of 12840984 is about 234.1708154486.

It can be divided in two parts, 12840 and 984, that added together give a cube (13824 = 24³).

The spelling of 12840984 in words is "twelve million, eight hundred forty thousand, nine hundred eighty-four".