10806516 has 144 divisors (see below), whose sum is σ = 34303360. Its totient is φ = 2799360.

The previous prime is 10806511. The next prime is 10806533. The reversal of 10806516 is 61560801.

10806516 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 651 + 6 = 666.

10806516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10806516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177126 + ... + 177186.

Almost surely, 2^10806516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10806516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151680).

10806516 is an abundant number, since it is smaller than the sum of its proper divisors (23496844).

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

10806516 is a wasteful number, since it uses less digits than its factorization.

10806516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10806516 is about 3287.3265733724. The cubic root of 10806516 is about 221.0863349613.

The spelling of 10806516 in words is "ten million, eight hundred six thousand, five hundred sixteen".