98127744 has 128 divisors (see below), whose sum is σ = 306391680. Its totient is φ = 27432960.

The previous prime is 98127713. The next prime is 98127767. The reversal of 98127744 is 44772189.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 98127696 and 98127705.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54019 + ... + 55805.

It is an arithmetic number, because the mean of its divisors is an integer number (2393685).

Almost surely, 2^98127744 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 98127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153195840).

98127744 is an abundant number, since it is smaller than the sum of its proper divisors (208263936).

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

98127744 is a wasteful number, since it uses less digits than its factorization.

98127744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 98127744 is about 9905.9448817364. The cubic root of 98127744 is about 461.2438672520.

The spelling of 98127744 in words is "ninety-eight million, one hundred twenty-seven thousand, seven hundred forty-four".