10809216 has 96 divisors (see below), whose sum is σ = 33972120. Its totient is φ = 3271680.

The previous prime is 10809179. The next prime is 10809221. The reversal of 10809216 is 61290801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10809216.

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, 12246 + ... + 13098.

Almost surely, 2^10809216 is an apocalyptic number.

10809216 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 10809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986060).

10809216 is an abundant number, since it is smaller than the sum of its proper divisors (23162904).

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

10809216 is a wasteful number, since it uses less digits than its factorization.

10809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10809216 is about 3287.7372157762. The cubic root of 10809216 is about 221.1047461803.

It can be divided in two parts, 10809 and 216, that added together give a square (11025 = 105²).

The spelling of 10809216 in words is "ten million, eight hundred nine thousand, two hundred sixteen".