98713600 has 90 divisors (see below), whose sum is σ = 245818034. Its totient is φ = 39321600.

The previous prime is 98713591. The next prime is 98713619. The reversal of 98713600 is 631789.

It can be written as a sum of positive squares in 3 ways, for example, as 13778944 + 84934656 = 3712^2 + 9216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409480 + ... + 409720.

Almost surely, 2^98713600 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 98713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122909017).

98713600 is an abundant number, since it is smaller than the sum of its proper divisors (147104434).

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

98713600 is an equidigital number, since it uses as much as digits as its factorization.

98713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 98713600 is about 9935.4718056064. The cubic root of 98713600 is about 462.1599740850.

The spelling of 98713600 in words is "ninety-eight million, seven hundred thirteen thousand, six hundred".