9978648 has 64 divisors (see below), whose sum is σ = 26688000. Its totient is φ = 3100032.

The previous prime is 9978637. The next prime is 9978649. The reversal of 9978648 is 8468799.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (870912) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 9978648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35886 + ... + 36162.

It is an arithmetic number, because the mean of its divisors is an integer number (417000).

Almost surely, 2^9978648 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 9978648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344000).

9978648 is an abundant number, since it is smaller than the sum of its proper divisors (16709352).

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

9978648 is a wasteful number, since it uses less digits than its factorization.

9978648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 9978648 is about 3158.8998084776. The cubic root of 9978648 is about 215.2900214392.

The spelling of 9978648 in words is "nine million, nine hundred seventy-eight thousand, six hundred forty-eight".