6738540 has 96 divisors (see below), whose sum is σ = 20805120. Its totient is φ = 1622016.

The previous prime is 6738533. The next prime is 6738541. The reversal of 6738540 is 458376.

It is not an unprimeable number, because it can be changed into a prime (6738541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26092 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

Almost surely, 2^6738540 is an apocalyptic number.

6738540 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 6738540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402560).

6738540 is an abundant number, since it is smaller than the sum of its proper divisors (14066580).

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

6738540 is a wasteful number, since it uses less digits than its factorization.

6738540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6738540 is about 2595.8697964266. The cubic root of 6738540 is about 188.8811436014.

The spelling of 6738540 in words is "six million, seven hundred thirty-eight thousand, five hundred forty".