98409168 has 280 divisors, whose sum is σ = 341540640. Its totient is φ = 27060480.

The previous prime is 98409149. The next prime is 98409191. The reversal of 98409168 is 86190489.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1667923 + ... + 1667981.

It is an arithmetic number, because the mean of its divisors is an integer number (1219788).

Almost surely, 2^98409168 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 98409168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170770320).

98409168 is an abundant number, since it is smaller than the sum of its proper divisors (243131472).

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

98409168 is a wasteful number, since it uses less digits than its factorization.

98409168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 98409168 is about 9920.1395151480. The cubic root of 98409168 is about 461.6843855508.

The spelling of 98409168 in words is "ninety-eight million, four hundred nine thousand, one hundred sixty-eight".