98743008 has 192 divisors, whose sum is σ = 325140480. Its totient is φ = 25546752.

The previous prime is 98743003. The next prime is 98743009. The reversal of 98743008 is 80034789.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98743003) 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 31 ways as a sum of consecutive naturals, for example, 777441 + ... + 777567.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^98743008 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 98743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

98743008 is an abundant number, since it is smaller than the sum of its proper divisors (226397472).

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

98743008 is a wasteful number, since it uses less digits than its factorization.

98743008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 98743008 is about 9936.9516452482. The cubic root of 98743008 is about 462.2058639154.

The spelling of 98743008 in words is "ninety-eight million, seven hundred forty-three thousand, eight".