98596960 has 192 divisors, whose sum is σ = 297851904. Its totient is φ = 29952000.

The previous prime is 98596951. The next prime is 98596973. The reversal of 98596960 is 6969589.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 98596898 and 98596907.

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 31 ways as a sum of consecutive naturals, for example, 652885 + ... + 653035.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^98596960 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 98596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

98596960 is an abundant number, since it is smaller than the sum of its proper divisors (199254944).

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

98596960 is a wasteful number, since it uses less digits than its factorization.

98596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The square root of 98596960 is about 9929.6001933613. The cubic root of 98596960 is about 461.9778729181.

The spelling of 98596960 in words is "ninety-eight million, five hundred ninety-six thousand, nine hundred sixty".