6547968 has 180 divisors, whose sum is σ = 22741290. Its totient is φ = 1806336.

The previous prime is 6547967. The next prime is 6547973. The reversal of 6547968 is 8697456.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 1016064 = 2352^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (6547967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225778 + ... + 225806.

Almost surely, 2^6547968 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 6547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370645).

6547968 is an abundant number, since it is smaller than the sum of its proper divisors (16193322).

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

6547968 is a wasteful number, since it uses less digits than its factorization.

6547968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6547968 is about 2558.8997635703. The cubic root of 6547968 is about 187.0835128903.

The spelling of 6547968 in words is "six million, five hundred forty-seven thousand, nine hundred sixty-eight".