98354304 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 32394240.

The previous prime is 98354281. The next prime is 98354323. The reversal of 98354304 is 40345389.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 514849 + ... + 515039.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^98354304 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 98354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

98354304 is an abundant number, since it is smaller than the sum of its proper divisors (195405696).

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

98354304 is a wasteful number, since it uses less digits than its factorization.

98354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 98354304 is about 9917.3738459332. The cubic root of 98354304 is about 461.5985718633.

The spelling of 98354304 in words is "ninety-eight million, three hundred fifty-four thousand, three hundred four".