98745600 has 216 divisors, whose sum is σ = 337096480. Its totient is φ = 25436160.

The previous prime is 98745583. The next prime is 98745611. The reversal of 98745600 is 654789.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710331 + ... + 710469.

Almost surely, 2^98745600 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 98745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168548240).

98745600 is an abundant number, since it is smaller than the sum of its proper divisors (238350880).

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

98745600 is a wasteful number, since it uses less digits than its factorization.

98745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 98745600 is about 9937.0820666834. The cubic root of 98745600 is about 462.2099081751.

The spelling of 98745600 in words is "ninety-eight million, seven hundred forty-five thousand, six hundred".