98959600 has 120 divisors (see below), whose sum is σ = 259470000. Its totient is φ = 36126720.

The previous prime is 98959591. The next prime is 98959607. The reversal of 98959600 is 695989.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98959607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 220176 + ... + 220624.

It is an arithmetic number, because the mean of its divisors is an integer number (2162250).

Almost surely, 2^98959600 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 98959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129735000).

98959600 is an abundant number, since it is smaller than the sum of its proper divisors (160510400).

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

98959600 is a wasteful number, since it uses less digits than its factorization.

98959600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 98959600 is about 9947.8439875181. The cubic root of 98959600 is about 462.5435654117.

The spelling of 98959600 in words is "ninety-eight million, nine hundred fifty-nine thousand, six hundred".