98400384 has 96 divisors (see below), whose sum is σ = 285156300. Its totient is φ = 32569344.

The previous prime is 98400359. The next prime is 98400397. The reversal of 98400384 is 48300489.

It can be written as a sum of positive squares in 2 ways, for example, as 90782784 + 7617600 = 9528^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 263622 + ... + 263994.

Almost surely, 2^98400384 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 98400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142578150).

98400384 is an abundant number, since it is smaller than the sum of its proper divisors (186755916).

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

98400384 is a wasteful number, since it uses less digits than its factorization.

98400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98400384 is about 9919.6967695590. The cubic root of 98400384 is about 461.6706484963.

The spelling of 98400384 in words is "ninety-eight million, four hundred thousand, three hundred eighty-four".