10089688 has 32 divisors (see below), whose sum is σ = 22068000. Its totient is φ = 4322976.

The previous prime is 10089683. The next prime is 10089691. The reversal of 10089688 is 88698001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10089688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906 + ... + 4582.

It is an arithmetic number, because the mean of its divisors is an integer number (689625).

Almost surely, 2^10089688 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 10089688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034000).

10089688 is an abundant number, since it is smaller than the sum of its proper divisors (11978312).

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

10089688 is an equidigital number, since it uses as much as digits as its factorization.

10089688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 10089688 is about 3176.4269234472. The cubic root of 10089688 is about 216.0856427648.

The spelling of 10089688 in words is "ten million, eighty-nine thousand, six hundred eighty-eight".