10281636 has 36 divisors (see below), whose sum is σ = 26289900. Its totient is φ = 3387648.

The previous prime is 10281577. The next prime is 10281637. The reversal of 10281636 is 63618201.

10281636 is a `hidden beast` number, since 1 + 0 + 28 + 1 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 6502500 = 1944^2 + 2550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10281637) 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 11 ways as a sum of consecutive naturals, for example, 1600 + ... + 4808.

It is an arithmetic number, because the mean of its divisors is an integer number (730275).

Almost surely, 2^10281636 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 10281636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144950).

10281636 is an abundant number, since it is smaller than the sum of its proper divisors (16008264).

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

10281636 is a wasteful number, since it uses less digits than its factorization.

10281636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10281636 is about 3206.4990254170. The cubic root of 10281636 is about 217.4473277130.

Adding to 10281636 its reverse (63618201), we get a palindrome (73899837).

The spelling of 10281636 in words is "ten million, two hundred eighty-one thousand, six hundred thirty-six".