9867648 has 64 divisors (see below), whose sum is σ = 29963520. Its totient is φ = 2818560.

The previous prime is 9867643. The next prime is 9867659. The reversal of 9867648 is 8467689.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9867597 and 9867606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9867643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853 + ... + 4523.

It is an arithmetic number, because the mean of its divisors is an integer number (468180).

Almost surely, 2^9867648 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 9867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760).

9867648 is an abundant number, since it is smaller than the sum of its proper divisors (20095872).

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

9867648 is a wasteful number, since it uses less digits than its factorization.

9867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3683 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 9867648 is about 3141.2812672539. The cubic root of 9867648 is about 214.4887655018.

The spelling of 9867648 in words is "nine million, eight hundred sixty-seven thousand, six hundred forty-eight".