10786816 has 48 divisors (see below), whose sum is σ = 22604400. Its totient is φ = 5136384.

The previous prime is 10786781. The next prime is 10786837. The reversal of 10786816 is 61868701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46990 + ... + 47218.

It is an arithmetic number, because the mean of its divisors is an integer number (470925).

Almost surely, 2^10786816 is an apocalyptic number.

10786816 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 10786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302200).

10786816 is an abundant number, since it is smaller than the sum of its proper divisors (11817584).

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

10786816 is an equidigital number, since it uses as much as digits as its factorization.

10786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 10786816 is about 3284.3288507700. The cubic root of 10786816 is about 220.9519083469.

The spelling of 10786816 in words is "ten million, seven hundred eighty-six thousand, eight hundred sixteen".