9516864 has 112 divisors (see below), whose sum is σ = 29472128. Its totient is φ = 2654208.

The previous prime is 9516847. The next prime is 9516883. The reversal of 9516864 is 4686159.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (51840) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98064 + ... + 98160.

It is an arithmetic number, because the mean of its divisors is an integer number (263144).

Almost surely, 2^9516864 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 9516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736064).

9516864 is an abundant number, since it is smaller than the sum of its proper divisors (19955264).

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

9516864 is a wasteful number, since it uses less digits than its factorization.

9516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 9516864 is about 3084.9414905311. The cubic root of 9516864 is about 211.9164260589.

The spelling of 9516864 in words is "nine million, five hundred sixteen thousand, eight hundred sixty-four".