9890688 has 64 divisors (see below), whose sum is σ = 26928000. Its totient is φ = 3214848.

The previous prime is 9890681. The next prime is 9890693. The reversal of 9890688 is 8860989.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9890688² = 195651418226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890681) 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, 16213 + ... + 16811.

It is an arithmetic number, because the mean of its divisors is an integer number (420750).

Almost surely, 2^9890688 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 9890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464000).

9890688 is an abundant number, since it is smaller than the sum of its proper divisors (17037312).

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

9890688 is a wasteful number, since it uses less digits than its factorization.

9890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 9890688 is about 3144.9464224371. The cubic root of 9890688 is about 214.6555725570.

The spelling of 9890688 in words is "nine million, eight hundred ninety thousand, six hundred eighty-eight".