6566560 has 192 divisors, whose sum is σ = 21337344. Its totient is φ = 1843200.

The previous prime is 6566551. The next prime is 6566563. The reversal of 6566560 is 656656.

It is not an unprimeable number, because it can be changed into a prime (6566563) 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, 160140 + ... + 160180.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

Almost surely, 2^6566560 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 6566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668672).

6566560 is an abundant number, since it is smaller than the sum of its proper divisors (14770784).

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

6566560 is a wasteful number, since it uses less digits than its factorization.

6566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 6566560 is about 2562.5299998244. The cubic root of 6566560 is about 187.2604110187.

It can be divided in two parts, 65 and 66560, that multiplied together give a square (4326400 = 2080²).

The spelling of 6566560 in words is "six million, five hundred sixty-six thousand, five hundred sixty".