98385408 has 160 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 29767680.

The previous prime is 98385379. The next prime is 98385431. The reversal of 98385408 is 80458389.

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, 151741 + ... + 152387.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^98385408 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 98385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

98385408 is an abundant number, since it is smaller than the sum of its proper divisors (219808512).

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

98385408 is a wasteful number, since it uses less digits than its factorization.

98385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 98385408 is about 9918.9418790514. The cubic root of 98385408 is about 461.6472260592.

The spelling of 98385408 in words is "ninety-eight million, three hundred eighty-five thousand, four hundred eight".