10666560 has 112 divisors (see below), whose sum is σ = 34820352. Its totient is φ = 2764800.

The previous prime is 10666559. The next prime is 10666567. The reversal of 10666560 is 6566601.

It is a super-2 number, since 2×10666560² = 227551004467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666567) 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 15 ways as a sum of consecutive naturals, for example, 39225 + ... + 39495.

It is an arithmetic number, because the mean of its divisors is an integer number (310896).

Almost surely, 2^10666560 is an apocalyptic number.

10666560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410176).

10666560 is an abundant number, since it is smaller than the sum of its proper divisors (24153792).

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

10666560 is a wasteful number, since it uses less digits than its factorization.

10666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 10666560 is about 3265.9699937385. The cubic root of 10666560 is about 220.1277494956.

It can be divided in two parts, 1066 and 6560, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 10666560 in words is "ten million, six hundred sixty-six thousand, five hundred sixty".