98314384 has 60 divisors (see below), whose sum is σ = 224232300. Its totient is φ = 41631744.

The previous prime is 98314369. The next prime is 98314421. The reversal of 98314384 is 48341389.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 90630400 = 2772^2 + 9520^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69072 + ... + 70480.

It is an arithmetic number, because the mean of its divisors is an integer number (3737205).

Almost surely, 2^98314384 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 98314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112116150).

98314384 is an abundant number, since it is smaller than the sum of its proper divisors (125917916).

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

98314384 is a wasteful number, since it uses less digits than its factorization.

98314384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1507 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 98314384 is about 9915.3610120862. The cubic root of 98314384 is about 461.5361122729.

The spelling of 98314384 in words is "ninety-eight million, three hundred fourteen thousand, three hundred eighty-four".