98305760 has 72 divisors (see below), whose sum is σ = 270186840. Its totient is φ = 33702144.

The previous prime is 98305733. The next prime is 98305763. The reversal of 98305760 is 6750389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98305763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1571 + ... + 14109.

It is an arithmetic number, because the mean of its divisors is an integer number (3752595).

Almost surely, 2^98305760 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 98305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135093420).

98305760 is an abundant number, since it is smaller than the sum of its proper divisors (171881080).

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

98305760 is a wasteful number, since it uses less digits than its factorization.

98305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 98305760 is about 9914.9261217621. The cubic root of 98305760 is about 461.5226167780.

The spelling of 98305760 in words is "ninety-eight million, three hundred five thousand, seven hundred sixty".