98109792 has 288 divisors, whose sum is σ = 334623744. Its totient is φ = 27993600.

The previous prime is 98109779. The next prime is 98109797. The reversal of 98109792 is 29790189.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98109797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2651598 + ... + 2651634.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^98109792 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 98109792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

98109792 is an abundant number, since it is smaller than the sum of its proper divisors (236513952).

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

98109792 is a wasteful number, since it uses less digits than its factorization.

98109792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 98109792 is about 9905.0387177436. The cubic root of 98109792 is about 461.2157380856.

It can be divided in two parts, 981097 and 92, that added together give a palindrome (981189).

The spelling of 98109792 in words is "ninety-eight million, one hundred nine thousand, seven hundred ninety-two".