98084080 has 80 divisors (see below), whose sum is σ = 242082720. Its totient is φ = 36854784.

The previous prime is 98084071. The next prime is 98084083. The reversal of 98084080 is 8048089.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98084083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 262774 + ... + 263146.

It is an arithmetic number, because the mean of its divisors is an integer number (3026034).

Almost surely, 2^98084080 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 98084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121041360).

98084080 is an abundant number, since it is smaller than the sum of its proper divisors (143998640).

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

98084080 is a wasteful number, since it uses less digits than its factorization.

98084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 98084080 is about 9903.7407074297. The cubic root of 98084080 is about 461.1754437211.

The spelling of 98084080 in words is "ninety-eight million, eighty-four thousand, eighty".