98304000 has 152 divisors (see below), whose sum is σ = 327155088. Its totient is φ = 26214400.

The previous prime is 98303999. The next prime is 98304053. The reversal of 98304000 is 40389.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=320.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19660798 + ... + 19660802.

Almost surely, 2^98304000 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 98304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577544).

98304000 is an abundant number, since it is smaller than the sum of its proper divisors (228851088).

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

98304000 is an frugal number, since it uses more digits than its factorization.

98304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 98304000 is about 9914.8373662910. The cubic root of 98304000 is about 461.5198624984.

98304000 divided by its sum of digits (24) gives a cube (4096000 = 160³).

Adding to 98304000 its reverse (40389), we get a palindrome (98344389).

The spelling of 98304000 in words is "ninety-eight million, three hundred four thousand".