98145600 has 336 divisors, whose sum is σ = 387022848. Its totient is φ = 21288960.

The previous prime is 98145569. The next prime is 98145611. The reversal of 98145600 is 654189.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 772737 + ... + 772863.

Almost surely, 2^98145600 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 98145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193511424).

98145600 is an abundant number, since it is smaller than the sum of its proper divisors (288877248).

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

98145600 is a wasteful number, since it uses less digits than its factorization.

98145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 98145600 is about 9906.8461177107. The cubic root of 98145600 is about 461.2718425919.

Adding to 98145600 its reverse (654189), we get a palindrome (98799789).

The spelling of 98145600 in words is "ninety-eight million, one hundred forty-five thousand, six hundred".