6791960 has 64 divisors (see below), whose sum is σ = 17694720. Its totient is φ = 2298240.

The previous prime is 6791933. The next prime is 6791963. The reversal of 6791960 is 691976.

It is a super-2 number, since 2×6791960² = 92261441283200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6791963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35465 + ... + 35655.

It is an arithmetic number, because the mean of its divisors is an integer number (276480).

Almost surely, 2^6791960 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 6791960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847360).

6791960 is an abundant number, since it is smaller than the sum of its proper divisors (10902760).

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

6791960 is a wasteful number, since it uses less digits than its factorization.

6791960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 6791960 is about 2606.1389065052. The cubic root of 6791960 is about 189.3789509645.

The spelling of 6791960 in words is "six million, seven hundred ninety-one thousand, nine hundred sixty".