98096544 has 288 divisors, whose sum is σ = 363242880. Its totient is φ = 24385536.

The previous prime is 98096539. The next prime is 98096549. The reversal of 98096544 is 44569089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98096539) and next prime (98096549).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 98096544.

It is not an unprimeable number, because it can be changed into a prime (98096549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497854 + ... + 498050.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^98096544 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 98096544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

98096544 is an abundant number, since it is smaller than the sum of its proper divisors (265146336).

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

98096544 is a wasteful number, since it uses less digits than its factorization.

98096544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 98096544 is about 9904.3699446255. The cubic root of 98096544 is about 461.1949774629.

The spelling of 98096544 in words is "ninety-eight million, ninety-six thousand, five hundred forty-four".