12984840 has 128 divisors (see below), whose sum is σ = 47260800. Its totient is φ = 3144960.

The previous prime is 12984791. The next prime is 12984869. The reversal of 12984840 is 4848921.

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

It is a junction number, because it is equal to n+sod(n) for n = 12984795 and 12984804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11334 + ... + 12426.

It is an arithmetic number, because the mean of its divisors is an integer number (369225).

Almost surely, 2^12984840 is an apocalyptic number.

12984840 is a gapful number since it is divisible by the number (10) 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 12984840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630400).

12984840 is an abundant number, since it is smaller than the sum of its proper divisors (34275960).

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

12984840 is a wasteful number, since it uses less digits than its factorization.

12984840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

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

The square root of 12984840 is about 3603.4483484573. The cubic root of 12984840 is about 235.0420326203.

It can be divided in two parts, 12984 and 840, that added together give a cube (13824 = 24³).

The spelling of 12984840 in words is "twelve million, nine hundred eighty-four thousand, eight hundred forty".