9663864 has 128 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2534400.

The previous prime is 9663853. The next prime is 9663869. The reversal of 9663864 is 4683669.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 9⁷ + 6 + 6⁶ + 3¹⁴ + 8³ + 6⁶ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9663869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158394 + ... + 158454.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^9663864 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 9663864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

9663864 is an abundant number, since it is smaller than the sum of its proper divisors (20334216).

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

9663864 is a wasteful number, since it uses less digits than its factorization.

9663864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 9663864 is about 3108.6756022461. The cubic root of 9663864 is about 213.0019616738.

It can be divided in two parts, 966 and 3864, that multiplied together give a square (3732624 = 1932²).

The spelling of 9663864 in words is "nine million, six hundred sixty-three thousand, eight hundred sixty-four".