10666656 has 288 divisors, whose sum is σ = 41827968. Its totient is φ = 2488320.

The previous prime is 10666609. The next prime is 10666673. The reversal of 10666656 is 65666601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10666656² = 227555100444672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10666656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288270 + ... + 288306.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 2^10666656 is an apocalyptic number.

10666656 is a gapful number since it is divisible by the number (16) 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 10666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

10666656 is an abundant number, since it is smaller than the sum of its proper divisors (31161312).

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

10666656 is a wasteful number, since it uses less digits than its factorization.

10666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

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

The square root of 10666656 is about 3265.9846907173. The cubic root of 10666656 is about 220.1284098835.

Subtracting 10666656 from its reverse (65666601), we obtain a palindrome (54999945).

It can be divided in two parts, 10 and 666656, that added together give a palindrome (666666).

The spelling of 10666656 in words is "ten million, six hundred sixty-six thousand, six hundred fifty-six".