98347200 has 168 divisors, whose sum is σ = 368881152. Its totient is φ = 22471680.

The previous prime is 98347199. The next prime is 98347201. The reversal of 98347200 is 274389.

It is an interprime number because it is at equal distance from previous prime (98347199) and next prime (98347201).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (98347201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32137 + ... + 35063.

Almost surely, 2^98347200 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 98347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184440576).

98347200 is an abundant number, since it is smaller than the sum of its proper divisors (270533952).

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

98347200 is a wasteful number, since it uses less digits than its factorization.

98347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 98347200 is about 9917.0156801328. The cubic root of 98347200 is about 461.5874580463.

The spelling of 98347200 in words is "ninety-eight million, three hundred forty-seven thousand, two hundred".