982558080 has 256 divisors, whose sum is σ = 3977510400. Its totient is φ = 224557056.

The previous prime is 982558037. The next prime is 982558103. The reversal of 982558080 is 80855289.

982558080 is a `hidden beast` number, since 98 + 2 + 558 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 116899 + ... + 125021.

It is an arithmetic number, because the mean of its divisors is an integer number (15537150).

Almost surely, 2^982558080 is an apocalyptic number.

982558080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988755200).

982558080 is an abundant number, since it is smaller than the sum of its proper divisors (2994952320).

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

982558080 is a wasteful number, since it uses less digits than its factorization.

982558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 982558080 is about 31345.7824914294. The cubic root of 982558080 is about 994.1518929801.

The spelling of 982558080 in words is "nine hundred eighty-two million, five hundred fifty-eight thousand, eighty".