12872844 has 60 divisors (see below), whose sum is σ = 34212024. Its totient is φ = 4219776.

The previous prime is 12872833. The next prime is 12872863. The reversal of 12872844 is 44827821.

It is a super-3 number, since 3×12872844³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 12872799 and 12872808.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21412 + ... + 22004.

Almost surely, 2^12872844 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 12872844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106012).

12872844 is an abundant number, since it is smaller than the sum of its proper divisors (21339180).

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

12872844 is a wasteful number, since it uses less digits than its factorization.

12872844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12872844 is about 3587.8745797477. The cubic root of 12872844 is about 234.3643239937.

The spelling of 12872844 in words is "twelve million, eight hundred seventy-two thousand, eight hundred forty-four".