6832960 has 56 divisors (see below), whose sum is σ = 16495776. Its totient is φ = 2695680.

The previous prime is 6832957. The next prime is 6832979. The reversal of 6832960 is 692386.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41839 + ... + 42001.

Almost surely, 2^6832960 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 6832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8247888).

6832960 is an abundant number, since it is smaller than the sum of its proper divisors (9662816).

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

6832960 is a wasteful number, since it uses less digits than its factorization.

6832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6832960 is about 2613.9931139925. The cubic root of 6832960 is about 189.7592518647.

The spelling of 6832960 in words is "six million, eight hundred thirty-two thousand, nine hundred sixty".