6746960 has 120 divisors (see below), whose sum is σ = 18701928. Its totient is φ = 2252800.

The previous prime is 6746959. The next prime is 6746963. The reversal of 6746960 is 696476.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 6512704 = 484^2 + 2552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164540 + ... + 164580.

Almost surely, 2^6746960 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 6746960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350964).

6746960 is an abundant number, since it is smaller than the sum of its proper divisors (11954968).

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

6746960 is a wasteful number, since it uses less digits than its factorization.

6746960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 6746960 is about 2597.4910971936. The cubic root of 6746960 is about 188.9597816684.

The spelling of 6746960 in words is "six million, seven hundred forty-six thousand, nine hundred sixty".