978651648 has 360 divisors, whose sum is σ = 3327888564. Its totient is φ = 274268160.

The previous prime is 978651643. The next prime is 978651659. The reversal of 978651648 is 846156879.

978651648 is a `hidden beast` number, since 9 + 7 + 86 + 516 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 2214144 = 31248^2 + 1488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 978651594 and 978651603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978651643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31569393 + ... + 31569423.

Almost surely, 2^978651648 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 978651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663944282).

978651648 is an abundant number, since it is smaller than the sum of its proper divisors (2349236916).

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

978651648 is a wasteful number, since it uses less digits than its factorization.

978651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 978651648 is about 31283.4085099434. The cubic root of 978651648 is about 992.8326342670.

The spelling of 978651648 in words is "nine hundred seventy-eight million, six hundred fifty-one thousand, six hundred forty-eight".