98963200 has 162 divisors, whose sum is σ = 286025096. Its totient is φ = 33208320.

The previous prime is 98963113. The next prime is 98963201. The reversal of 98963200 is 236989.

It is a self number, because there is not a number n which added to its sum of digits gives 98963200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98963201) 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 17 ways as a sum of consecutive naturals, for example, 2105577 + ... + 2105623.

Almost surely, 2^98963200 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 98963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143012548).

98963200 is an abundant number, since it is smaller than the sum of its proper divisors (187061896).

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

98963200 is an equidigital number, since it uses as much as digits as its factorization.

98963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 98963200 is about 9948.0249296029. The cubic root of 98963200 is about 462.5491742212.

The spelling of 98963200 in words is "ninety-eight million, nine hundred sixty-three thousand, two hundred".