98217600 has 192 divisors, whose sum is σ = 348831840. Its totient is φ = 24145920.

The previous prime is 98217599. The next prime is 98217617. The reversal of 98217600 is 671289.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124407 + ... + 125193.

Almost surely, 2^98217600 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 98217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174415920).

98217600 is an abundant number, since it is smaller than the sum of its proper divisors (250614240).

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

98217600 is a wasteful number, since it uses less digits than its factorization.

98217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 98217600 is about 9910.4793022336. The cubic root of 98217600 is about 461.3846119692.

Adding to 98217600 its reverse (671289), we get a palindrome (98888889).

The spelling of 98217600 in words is "ninety-eight million, two hundred seventeen thousand, six hundred".