10853856 has 108 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 3324672.

The previous prime is 10853849. The next prime is 10853879. The reversal of 10853856 is 65835801.

10853856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10853856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48561 + ... + 48783.

It is an arithmetic number, because the mean of its divisors is an integer number (310856).

Almost surely, 2^10853856 is an apocalyptic number.

10853856 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 10853856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).

10853856 is an abundant number, since it is smaller than the sum of its proper divisors (22718592).

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

10853856 is a wasteful number, since it uses less digits than its factorization.

10853856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 10853856 is about 3294.5190847831. The cubic root of 10853856 is about 221.4087016113.

The spelling of 10853856 in words is "ten million, eight hundred fifty-three thousand, eight hundred fifty-six".