6754560 has 72 divisors (see below), whose sum is σ = 21584640. Its totient is φ = 1800192.

The previous prime is 6754549. The next prime is 6754567. The reversal of 6754560 is 654576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6754567) by changing a digit.

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, 2961 + ... + 4719.

Almost surely, 2^6754560 is an apocalyptic number.

6754560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792320).

6754560 is an abundant number, since it is smaller than the sum of its proper divisors (14830080).

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

6754560 is a wasteful number, since it uses less digits than its factorization.

6754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6754560 is about 2598.9536356003. The cubic root of 6754560 is about 189.0307052378.

The spelling of 6754560 in words is "six million, seven hundred fifty-four thousand, five hundred sixty".