666106560 has 672 divisors, whose sum is σ = 2890967040. Its totient is φ = 137355264.

The previous prime is 666106559. The next prime is 666106583. The reversal of 666106560 is 65601666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14172457 + ... + 14172503.

Almost surely, 2^666106560 is an apocalyptic number.

666106560 is a gapful number since it is divisible by the number (60) 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 666106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445483520).

666106560 is an abundant number, since it is smaller than the sum of its proper divisors (2224860480).

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

666106560 is a wasteful number, since it uses less digits than its factorization.

666106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 666106560 is about 25809.0402766163. The cubic root of 666106560 is about 873.3357470684.

It can be divided in two parts, 666106 and 560, that added together give a palindrome (666666).

The spelling of 666106560 in words is "six hundred sixty-six million, one hundred six thousand, five hundred sixty".