98385378 has 96 divisors (see below), whose sum is σ = 247919616. Its totient is φ = 25481664.

The previous prime is 98385367. The next prime is 98385379. The reversal of 98385378 is 87358389.

It is a happy number.

98385378 is a nontrivial binomial coefficient, being equal to C(14028, 2).

Its product of digits (1451520) is a multiple of the sum of its prime factors (288).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 98385378.

It is not an unprimeable number, because it can be changed into a prime (98385379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589051 + ... + 589217.

It is an arithmetic number, because the mean of its divisors is an integer number (2582496).

Almost surely, 2^98385378 is an apocalyptic number.

98385378 is the 14027-th triangular number and also the 7014-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98385378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959808).

98385378 is an abundant number, since it is smaller than the sum of its proper divisors (149534238).

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

98385378 is a wasteful number, since it uses less digits than its factorization.

98385378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 98385378 is about 9918.9403667932. The cubic root of 98385378 is about 461.6471791369.

The spelling of 98385378 in words is "ninety-eight million, three hundred eighty-five thousand, three hundred seventy-eight".