982560000 has 360 divisors, whose sum is σ = 3448146240. Its totient is φ = 247808000.

The previous prime is 982559959. The next prime is 982560013. The reversal of 982560000 is 65289.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 982560000.

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, 11039956 + ... + 11040044.

It is an arithmetic number, because the mean of its divisors is an integer number (9578184).

Almost surely, 2^982560000 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 982560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724073120).

982560000 is an abundant number, since it is smaller than the sum of its proper divisors (2465586240).

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

982560000 is an equidigital number, since it uses as much as digits as its factorization.

982560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 982560000 is about 31345.8131175441. The cubic root of 982560000 is about 994.1525405314.

The spelling of 982560000 in words is "nine hundred eighty-two million, five hundred sixty thousand".