6561968 has 40 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 2741760.

The previous prime is 6561943. The next prime is 6561991. The reversal of 6561968 is 8691656.

It is a Harshad number since it is a multiple of its sum of digits (41).

6561968 is a modest number, since divided by 1968 gives 656 as remainder.

It is an unprimeable number.

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, 3878 + ... + 5306.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^6561968 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 6561968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447440).

6561968 is an abundant number, since it is smaller than the sum of its proper divisors (8332912).

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

6561968 is a wasteful number, since it uses less digits than its factorization.

6561968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 6561968 is about 2561.6338536176. The cubic root of 6561968 is about 187.2167503944.

The spelling of 6561968 in words is "six million, five hundred sixty-one thousand, nine hundred sixty-eight".