98605600 has 108 divisors (see below), whose sum is σ = 252722106. Its totient is φ = 37565440.

The previous prime is 98605589. The next prime is 98605603. The reversal of 98605600 is 650689.

It can be written as a sum of positive squares in 3 ways, for example, as 58308496 + 40297104 = 7636^2 + 6348^2 .

It is not an unprimeable number, because it can be changed into a prime (98605603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423084 + ... + 423316.

Almost surely, 2^98605600 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 98605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126361053).

98605600 is an abundant number, since it is smaller than the sum of its proper divisors (154116506).

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

98605600 is a wasteful number, since it uses less digits than its factorization.

98605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 98605600 is about 9930.0352466645. The cubic root of 98605600 is about 461.9913668171.

The spelling of 98605600 in words is "ninety-eight million, six hundred five thousand, six hundred".