982125648 has 200 divisors, whose sum is σ = 3295358528. Its totient is φ = 276576768.

The previous prime is 982125619. The next prime is 982125659. The reversal of 982125648 is 846521289.

982125648 is a `hidden beast` number, since 9 + 82 + 1 + 2 + 564 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 661515 + ... + 662997.

Almost surely, 2^982125648 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 982125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647679264).

982125648 is an abundant number, since it is smaller than the sum of its proper divisors (2313232880).

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

982125648 is a wasteful number, since it uses less digits than its factorization.

982125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1568 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 982125648 is about 31338.8839622600. The cubic root of 982125648 is about 994.0060267344.

The spelling of 982125648 in words is "nine hundred eighty-two million, one hundred twenty-five thousand, six hundred forty-eight".