9906080 has 48 divisors (see below), whose sum is σ = 23673384. Its totient is φ = 3916800.

The previous prime is 9906079. The next prime is 9906101. The reversal of 9906080 is 806099.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7333264 + 2572816 = 2708^2 + 1604^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 15854 + ... + 16466.

Almost surely, 2^9906080 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 9906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836692).

9906080 is an abundant number, since it is smaller than the sum of its proper divisors (13767304).

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

9906080 is a wasteful number, since it uses less digits than its factorization.

9906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 9906080 is about 3147.3925716377. The cubic root of 9906080 is about 214.7668646517.

The spelling of 9906080 in words is "nine million, nine hundred six thousand, eighty".