10808856 has 64 divisors (see below), whose sum is σ = 30307200. Its totient is φ = 3569184.

The previous prime is 10808771. The next prime is 10808857. The reversal of 10808856 is 65880801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10808856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35055 + ... + 35361.

It is an arithmetic number, because the mean of its divisors is an integer number (473550).

Almost surely, 2^10808856 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 10808856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153600).

10808856 is an abundant number, since it is smaller than the sum of its proper divisors (19498344).

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

10808856 is a wasteful number, since it uses less digits than its factorization.

10808856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 10808856 is about 3287.6824664192. The cubic root of 10808856 is about 221.1022915282.

It can be divided in two parts, 10808 and 856, that added together give a square (11664 = 108²).

The spelling of 10808856 in words is "ten million, eight hundred eight thousand, eight hundred fifty-six".