10561680 has 60 divisors (see below), whose sum is σ = 35472060. Its totient is φ = 2816256.

The previous prime is 10561643. The next prime is 10561693. The reversal of 10561680 is 8616501.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 5253264 = 2304^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10561680² = 223098168844800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6615 + ... + 8054.

It is an arithmetic number, because the mean of its divisors is an integer number (591201).

Almost surely, 2^10561680 is an apocalyptic number.

10561680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10561680 is an abundant number, since it is smaller than the sum of its proper divisors (24910380).

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

10561680 is a wasteful number, since it uses less digits than its factorization.

10561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10561680 is about 3249.8738437053. The cubic root of 10561680 is about 219.4038959185.

The spelling of 10561680 in words is "ten million, five hundred sixty-one thousand, six hundred eighty".