9917856 has 96 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 3048192.

The previous prime is 9917849. The next prime is 9917881. The reversal of 9917856 is 6587199.

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

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 15 ways as a sum of consecutive naturals, for example, 10791 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 2^9917856 is an apocalyptic number.

9917856 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 9917856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

9917856 is an abundant number, since it is smaller than the sum of its proper divisors (21269664).

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

9917856 is a wasteful number, since it uses less digits than its factorization.

9917856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 9917856 is about 3149.2627708719. The cubic root of 9917856 is about 214.8519333870.

It can be divided in two parts, 99 and 17856, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 9917856 in words is "nine million, nine hundred seventeen thousand, eight hundred fifty-six".