9116640 has 144 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 2239488.

The previous prime is 9116629. The next prime is 9116663. The reversal of 9116640 is 466119.

9116640 is a `hidden beast` number, since 9 + 1 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9116640² = 166226249779200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 18477 + ... + 18963.

It is an arithmetic number, because the mean of its divisors is an integer number (233142).

Almost surely, 2^9116640 is an apocalyptic number.

9116640 is a gapful number since it is divisible by the number (90) 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 9116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).

9116640 is an abundant number, since it is smaller than the sum of its proper divisors (24455808).

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

9116640 is a wasteful number, since it uses less digits than its factorization.

9116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9116640 is about 3019.3774192704. The cubic root of 9116640 is about 208.9031242918.

The spelling of 9116640 in words is "nine million, one hundred sixteen thousand, six hundred forty".