10886688 has 72 divisors (see below), whose sum is σ = 31344768. Its totient is φ = 3583872.

The previous prime is 10886671. The next prime is 10886719. The reversal of 10886688 is 88668801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29481 + ... + 29847.

It is an arithmetic number, because the mean of its divisors is an integer number (435344).

Almost surely, 2^10886688 is an apocalyptic number.

10886688 is a gapful number since it is divisible by the number (18) 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 10886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672384).

10886688 is an abundant number, since it is smaller than the sum of its proper divisors (20458080).

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

10886688 is a wasteful number, since it uses less digits than its factorization.

10886688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 10886688 is about 3299.4981436576. The cubic root of 10886688 is about 221.6317244436.

It can be divided in two parts, 1088 and 6688, that added together give a 5-th power (7776 = 6⁵).

The spelling of 10886688 in words is "ten million, eight hundred eighty-six thousand, six hundred eighty-eight".