12884832 has 72 divisors (see below), whose sum is σ = 38021256. Its totient is φ = 4292352.

The previous prime is 12884819. The next prime is 12884849. The reversal of 12884832 is 23848821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6948 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (528073).

Almost surely, 2^12884832 is an apocalyptic number.

12884832 is a gapful number since it is divisible by the number (12) 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 12884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010628).

12884832 is an abundant number, since it is smaller than the sum of its proper divisors (25136424).

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

12884832 is an equidigital number, since it uses as much as digits as its factorization.

12884832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1662 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12884832 is about 3589.5448179400. The cubic root of 12884832 is about 234.4370530094.

The spelling of 12884832 in words is "twelve million, eight hundred eighty-four thousand, eight hundred thirty-two".