98085120 has 288 divisors, whose sum is σ = 370863360. Its totient is φ = 21626880.

The previous prime is 98085103. The next prime is 98085137. The reversal of 98085120 is 2158089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98085103) and next prime (98085137).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102036 + ... + 1102124.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^98085120 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 98085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

98085120 is an abundant number, since it is smaller than the sum of its proper divisors (272778240).

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

98085120 is a wasteful number, since it uses less digits than its factorization.

98085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 98085120 is about 9903.7932127039. The cubic root of 98085120 is about 461.1770736858.

The spelling of 98085120 in words is "ninety-eight million, eighty-five thousand, one hundred twenty".