12872964 has 48 divisors (see below), whose sum is σ = 32598720. Its totient is φ = 3930240.

The previous prime is 12872963. The next prime is 12872983. The reversal of 12872964 is 46927821.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12872963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27694 + ... + 28154.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 2^12872964 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 12872964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299360).

12872964 is an abundant number, since it is smaller than the sum of its proper divisors (19725756).

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

12872964 is a wasteful number, since it uses less digits than its factorization.

12872964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 658 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12872964 is about 3587.8913027014. The cubic root of 12872964 is about 234.3650522356.

Subtracting from 12872964 its product of digits (48384), we obtain a triangular number (12824580 = T₅₀₆₄).

The spelling of 12872964 in words is "twelve million, eight hundred seventy-two thousand, nine hundred sixty-four".