985080096 has 768 divisors, whose sum is σ = 4145541120. Its totient is φ = 218972160.

The previous prime is 985080053. The next prime is 985080127. The reversal of 985080096 is 690080589.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14702655 + ... + 14702721.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^985080096 is an apocalyptic number.

985080096 is a gapful number since it is divisible by the number (96) 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 985080096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072770560).

985080096 is an abundant number, since it is smaller than the sum of its proper divisors (3160461024).

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

985080096 is a wasteful number, since it uses less digits than its factorization.

985080096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 985080096 is about 31385.9856623940. The cubic root of 985080096 is about 995.0017578650.

The spelling of 985080096 in words is "nine hundred eighty-five million, eighty thousand, ninety-six".