9995616 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3180672.

The previous prime is 9995611. The next prime is 9995617. The reversal of 9995616 is 6165999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19621 + ... + 20123.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^9995616 is an apocalyptic number.

9995616 is a gapful number since it is divisible by the number (96) 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 9995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

9995616 is an abundant number, since it is smaller than the sum of its proper divisors (20486304).

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

9995616 is a wasteful number, since it uses less digits than its factorization.

9995616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 9995616 is about 3161.5844129170. The cubic root of 9995616 is about 215.4119809290.

The spelling of 9995616 in words is "nine million, nine hundred ninety-five thousand, six hundred sixteen".