9665856 has 84 divisors (see below), whose sum is σ = 28152852. Its totient is φ = 3170304.

The previous prime is 9665837. The next prime is 9665863. The reversal of 9665856 is 6585669.

9665856 is a `hidden beast` number, since 9 + 66 + 585 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 2822400 = 2616^2 + 1680^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (388800) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55786 + ... + 55958.

It is an arithmetic number, because the mean of its divisors is an integer number (335153).

Almost surely, 2^9665856 is an apocalyptic number.

9665856 is a gapful number since it is divisible by the number (96) 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 9665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076426).

9665856 is an abundant number, since it is smaller than the sum of its proper divisors (18486996).

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

9665856 is a wasteful number, since it uses less digits than its factorization.

9665856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 9665856 is about 3108.9959794120. The cubic root of 9665856 is about 213.0165959429.

It can be divided in two parts, 9 and 665856, that multiplied together give a square (5992704 = 2448²).

The spelling of 9665856 in words is "nine million, six hundred sixty-five thousand, eight hundred fifty-six".