10855656 has 144 divisors (see below), whose sum is σ = 36412740. Its totient is φ = 2903040.

The previous prime is 10855643. The next prime is 10855661. The reversal of 10855656 is 65655801.

10855656 is a `hidden beast` number, since 10 + 85 + 565 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 396900 = 3234^2 + 630^2 .

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 10855656.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 59886 + ... + 60066.

Almost surely, 2^10855656 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 10855656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206370).

10855656 is an abundant number, since it is smaller than the sum of its proper divisors (25557084).

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

10855656 is a wasteful number, since it uses less digits than its factorization.

10855656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 10855656 is about 3294.7922544525. The cubic root of 10855656 is about 221.4209403842.

It can be divided in two parts, 10855 and 656, that added together give a palindrome (11511).

The spelling of 10855656 in words is "ten million, eight hundred fifty-five thousand, six hundred fifty-six".