9905616 has 120 divisors (see below), whose sum is σ = 32807424. Its totient is φ = 2730240.

The previous prime is 9905591. The next prime is 9905627. The reversal of 9905616 is 6165099.

9905616 is a `hidden beast` number, since 9 + 90 + 561 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31090 + ... + 31406.

Almost surely, 2^9905616 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 9905616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403712).

9905616 is an abundant number, since it is smaller than the sum of its proper divisors (22901808).

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

9905616 is a wasteful number, since it uses less digits than its factorization.

9905616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9905616 is about 3147.3188589655. The cubic root of 9905616 is about 214.7635113784.

The spelling of 9905616 in words is "nine million, nine hundred five thousand, six hundred sixteen".