6832640 has 80 divisors (see below), whose sum is σ = 17456472. Its totient is φ = 2555904.

The previous prime is 6832627. The next prime is 6832649. The reversal of 6832640 is 462386.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 1149184 = 2384^2 + 1072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6832649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43442 + ... + 43598.

Almost surely, 2^6832640 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 6832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728236).

6832640 is an abundant number, since it is smaller than the sum of its proper divisors (10623832).

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

6832640 is a wasteful number, since it uses less digits than its factorization.

6832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6832640 is about 2613.9319042393. The cubic root of 6832640 is about 189.7562895610.

The spelling of 6832640 in words is "six million, eight hundred thirty-two thousand, six hundred forty".