12832000 has 72 divisors (see below), whose sum is σ = 32045832. Its totient is φ = 5120000.

The previous prime is 12831983. The next prime is 12832003. The reversal of 12832000 is 23821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 12616704 = 464^2 + 3552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31800 + ... + 32200.

It is an arithmetic number, because the mean of its divisors is an integer number (445081).

Almost surely, 2^12832000 is an apocalyptic number.

12832000 is a gapful number since it is divisible by the number (10) 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 12832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022916).

12832000 is an abundant number, since it is smaller than the sum of its proper divisors (19213832).

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

12832000 is an frugal number, since it uses more digits than its factorization.

12832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12832000 is about 3582.1781083581. The cubic root of 12832000 is about 234.1161913527.

Adding to 12832000 its reverse (23821), we get a palindrome (12855821).

It can be divided in two parts, 128 and 32000, that multiplied together give a cube (4096000 = 160³).

The spelling of 12832000 in words is "twelve million, eight hundred thirty-two thousand".