98313600 has 576 divisors, whose sum is σ = 432561600. Its totient is φ = 19353600.

The previous prime is 98313577. The next prime is 98313637. The reversal of 98313600 is 631389.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5174391 + ... + 5174409.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 2^98313600 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 98313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216280800).

98313600 is an abundant number, since it is smaller than the sum of its proper divisors (334248000).

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

98313600 is a wasteful number, since it uses less digits than its factorization.

98313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 98313600 is about 9915.3214773904. The cubic root of 98313600 is about 461.5348854424.

Adding to 98313600 its reverse (631389), we get a palindrome (98944989).

It can be divided in two parts, 9831 and 3600, that added together give a palindrome (13431).

The spelling of 98313600 in words is "ninety-eight million, three hundred thirteen thousand, six hundred".