98784144 has 80 divisors (see below), whose sum is σ = 300248640. Its totient is φ = 30988800.

The previous prime is 98784143. The next prime is 98784151. The reversal of 98784144 is 44148789.

It is a self number, because there is not a number n which added to its sum of digits gives 98784144.

It is not an unprimeable number, because it can be changed into a prime (98784143) 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 15 ways as a sum of consecutive naturals, for example, 619 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (3753108).

Almost surely, 2^98784144 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 98784144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150124320).

98784144 is an abundant number, since it is smaller than the sum of its proper divisors (201464496).

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

98784144 is a wasteful number, since it uses less digits than its factorization.

98784144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485 (or 13473 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 98784144 is about 9939.0212797840. The cubic root of 98784144 is about 462.2700394660.

The spelling of 98784144 in words is "ninety-eight million, seven hundred eighty-four thousand, one hundred forty-four".