12765984 has 144 divisors (see below), whose sum is σ = 42364224. Its totient is φ = 3294720.

The previous prime is 12765959. The next prime is 12766001. The reversal of 12765984 is 48956721.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (120960) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81234 + ... + 81390.

It is an arithmetic number, because the mean of its divisors is an integer number (294196).

Almost surely, 2^12765984 is an apocalyptic number.

12765984 is a gapful number since it is divisible by the number (14) 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 12765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182112).

12765984 is an abundant number, since it is smaller than the sum of its proper divisors (29598240).

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

12765984 is a wasteful number, since it uses less digits than its factorization.

12765984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 12765984 is about 3572.9517209165. The cubic root of 12765984 is about 233.7140198369.

It can be divided in two parts, 1276 and 5984, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 12765984 in words is "twelve million, seven hundred sixty-five thousand, nine hundred eighty-four".