98068320 has 480 divisors, whose sum is σ = 421521408. Its totient is φ = 20984832.

The previous prime is 98068319. The next prime is 98068331. The reversal of 98068320 is 2386089.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2086537 + ... + 2086583.

Almost surely, 2^98068320 is an apocalyptic number.

98068320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

98068320 is an abundant number, since it is smaller than the sum of its proper divisors (323453088).

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

98068320 is a wasteful number, since it uses less digits than its factorization.

98068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98068320 is about 9902.9450165090. The cubic root of 98068320 is about 461.1507420764.

The spelling of 98068320 in words is "ninety-eight million, sixty-eight thousand, three hundred twenty".