12876032 has 72 divisors (see below), whose sum is σ = 28587384. Its totient is φ = 5750784.

The previous prime is 12876013. The next prime is 12876043. The reversal of 12876032 is 23067821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 11397376 = 1216^2 + 3376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12875986 and 12876004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176348 + ... + 176420.

It is an arithmetic number, because the mean of its divisors is an integer number (397047).

Almost surely, 2^12876032 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 12876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293692).

12876032 is an abundant number, since it is smaller than the sum of its proper divisors (15711352).

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

12876032 is an equidigital number, since it uses as much as digits as its factorization.

12876032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 12876032 is about 3588.3188264144. The cubic root of 12876032 is about 234.3836694156.

The spelling of 12876032 in words is "twelve million, eight hundred seventy-six thousand, thirty-two".