10006560 has 72 divisors (see below), whose sum is σ = 34152300. Its totient is φ = 2668032.

The previous prime is 10006547. The next prime is 10006567. The reversal of 10006560 is 6560001.

10006560 is a `hidden beast` number, since 10 + 0 + 0 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 197136 = 3132^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10006567) 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 11 ways as a sum of consecutive naturals, for example, 2035 + ... + 4914.

Almost surely, 2^10006560 is an apocalyptic number.

10006560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006560 is an abundant number, since it is smaller than the sum of its proper divisors (24145740).

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

10006560 is a wasteful number, since it uses less digits than its factorization.

10006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10006560 is about 3163.3147171914. The cubic root of 10006560 is about 215.4905690107.

Adding to 10006560 its reverse (6560001), we get a palindrome (16566561).

The spelling of 10006560 in words is "ten million, six thousand, five hundred sixty".