6832000 has 128 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 2304000.

The previous prime is 6831991. The next prime is 6832003. The reversal of 6832000 is 2386.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6832003) 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, 111970 + ... + 112030.

Almost surely, 2^6832000 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 6832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

6832000 is an abundant number, since it is smaller than the sum of its proper divisors (12898880).

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

6832000 is an equidigital number, since it uses as much as digits as its factorization.

6832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6832000 is about 2613.8094804327. The cubic root of 6832000 is about 189.7503646760.

Adding to 6832000 its reverse (2386), we get a palindrome (6834386).

The spelling of 6832000 in words is "six million, eight hundred thirty-two thousand".