9684864 has 96 divisors (see below), whose sum is σ = 31877040. Its totient is φ = 2764800.

The previous prime is 9684853. The next prime is 9684877. The reversal of 9684864 is 4684869.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7464 + ... + 8664.

Almost surely, 2^9684864 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 9684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938520).

9684864 is an abundant number, since it is smaller than the sum of its proper divisors (22192176).

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

9684864 is a wasteful number, since it uses less digits than its factorization.

9684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1213 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 9684864 is about 3112.0514134570. The cubic root of 9684864 is about 213.1561375833.

It can be divided in two parts, 968 and 4864, that added together give a cube (5832 = 18³).

The spelling of 9684864 in words is "nine million, six hundred eighty-four thousand, eight hundred sixty-four".