98205600 has 288 divisors, whose sum is σ = 354352320. Its totient is φ = 23511040.

The previous prime is 98205589. The next prime is 98205637. The reversal of 98205600 is 650289.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183159 + ... + 1183241.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^98205600 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 98205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

98205600 is an abundant number, since it is smaller than the sum of its proper divisors (256146720).

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

98205600 is a wasteful number, since it uses less digits than its factorization.

98205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 98205600 is about 9909.8738639803. The cubic root of 98205600 is about 461.3658209011.

Adding to 98205600 its reverse (650289), we get a palindrome (98855889).

The spelling of 98205600 in words is "ninety-eight million, two hundred five thousand, six hundred".