98559600 has 120 divisors (see below), whose sum is σ = 329538432. Its totient is φ = 25132800.

The previous prime is 98559589. The next prime is 98559607. The reversal of 98559600 is 695589.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-5 number, since 5×98559600⁵ (a number of 41 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98559607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25815 + ... + 29385.

Almost surely, 2^98559600 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 98559600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164769216).

98559600 is an abundant number, since it is smaller than the sum of its proper divisors (230978832).

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

98559600 is a wasteful number, since it uses less digits than its factorization.

98559600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 98559600 is about 9927.7187711981. The cubic root of 98559600 is about 461.9195152238.

The spelling of 98559600 in words is "ninety-eight million, five hundred fifty-nine thousand, six hundred".