10665216 has 72 divisors (see below), whose sum is σ = 31559360. Its totient is φ = 3552768.

The previous prime is 10665199. The next prime is 10665229. The reversal of 10665216 is 61256601.

It is a happy number.

10665216 is a `hidden beast` number, since 1 + 0 + 6 + 652 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10665216² = 227493664653312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10665216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6141 + ... + 7683.

Almost surely, 2^10665216 is an apocalyptic number.

10665216 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 10665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779680).

10665216 is an abundant number, since it is smaller than the sum of its proper divisors (20894144).

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

10665216 is an equidigital number, since it uses as much as digits as its factorization.

10665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10665216 is about 3265.7642290894. The cubic root of 10665216 is about 220.1185036493.

The spelling of 10665216 in words is "ten million, six hundred sixty-five thousand, two hundred sixteen".