6746560 has 56 divisors (see below), whose sum is σ = 16642080. Its totient is φ = 2601984.

The previous prime is 6746557. The next prime is 6746581. The reversal of 6746560 is 656476.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8917 + ... + 9643.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^6746560 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 6746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321040).

6746560 is an abundant number, since it is smaller than the sum of its proper divisors (9895520).

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

6746560 is a wasteful number, since it uses less digits than its factorization.

6746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 6746560 is about 2597.4140986758. The cubic root of 6746560 is about 188.9560473740.

The spelling of 6746560 in words is "six million, seven hundred forty-six thousand, five hundred sixty".