10806912 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 3474432.

The previous prime is 10806911. The next prime is 10806931. The reversal of 10806912 is 21960801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10806911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183139 + ... + 183197.

Almost surely, 2^10806912 is an apocalyptic number.

10806912 is a gapful number since it is divisible by the number (12) 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 10806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

10806912 is an abundant number, since it is smaller than the sum of its proper divisors (22241088).

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

10806912 is an equidigital number, since it uses as much as digits as its factorization.

10806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

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

The square root of 10806912 is about 3287.3868041349. The cubic root of 10806912 is about 221.0890354653.

The spelling of 10806912 in words is "ten million, eight hundred six thousand, nine hundred twelve".