6760960 has 80 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 2543616.

The previous prime is 6760939. The next prime is 6760969. The reversal of 6760960 is 690676.

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 (6760969) 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, 48571 + ... + 48709.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 2^6760960 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 6760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

6760960 is an abundant number, since it is smaller than the sum of its proper divisors (10425440).

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

6760960 is a wasteful number, since it uses less digits than its factorization.

6760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 6760960 is about 2600.1846088307. The cubic root of 6760960 is about 189.0903890967.

The spelling of 6760960 in words is "six million, seven hundred sixty thousand, nine hundred sixty".