98755200 has 288 divisors, whose sum is σ = 368309760. Its totient is φ = 26127360.

The previous prime is 98755187. The next prime is 98755207. The reversal of 98755200 is 255789.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98755207) 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 35 ways as a sum of consecutive naturals, for example, 777537 + ... + 777663.

Almost surely, 2^98755200 is an apocalyptic number.

98755200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

98755200 is an abundant number, since it is smaller than the sum of its proper divisors (269554560).

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

98755200 is a wasteful number, since it uses less digits than its factorization.

98755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 98755200 is about 9937.5650941264. The cubic root of 98755200 is about 462.2248862985.

The spelling of 98755200 in words is "ninety-eight million, seven hundred fifty-five thousand, two hundred".