978648 has 48 divisors (see below), whose sum is σ = 2697240. Its totient is φ = 295680.

The previous prime is 978647. The next prime is 978683. The reversal of 978648 is 846879.

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978648.

It is not an unprimeable number, because it can be changed into a prime (978643) 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 11 ways as a sum of consecutive naturals, for example, 2736 + ... + 3072.

2⁹⁷⁸⁶⁴⁸ 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 978648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348620).

978648 is an abundant number, since it is smaller than the sum of its proper divisors (1718592).

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

978648 is a wasteful number, since it uses less digits than its factorization.

978648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 978648 is about 989.2663948604. The cubic root of 978648 is about 99.2831400645.

Subtracting from 978648 its reverse (846879), we obtain a square (131769 = 363²).

The spelling of 978648 in words is "nine hundred seventy-eight thousand, six hundred forty-eight".