10836688 has 40 divisors (see below), whose sum is σ = 22642400. Its totient is φ = 5007744.

The previous prime is 10836673. The next prime is 10836689. The reversal of 10836688 is 88663801.

It is a self number, because there is not a number n which added to its sum of digits gives 10836688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836689) 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 7 ways as a sum of consecutive naturals, for example, 12658 + ... + 13486.

It is an arithmetic number, because the mean of its divisors is an integer number (566060).

Almost surely, 2^10836688 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 10836688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321200).

10836688 is an abundant number, since it is smaller than the sum of its proper divisors (11805712).

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

10836688 is a wasteful number, since it uses less digits than its factorization.

10836688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 10836688 is about 3291.9125140259. The cubic root of 10836688 is about 221.2919028596.

The spelling of 10836688 in words is "ten million, eight hundred thirty-six thousand, six hundred eighty-eight".