98307216 has 320 divisors, whose sum is σ = 357120000. Its totient is φ = 25256448.

The previous prime is 98307199. The next prime is 98307241. The reversal of 98307216 is 61270389.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1666195 + ... + 1666253.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^98307216 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 98307216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

98307216 is an abundant number, since it is smaller than the sum of its proper divisors (258812784).

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

98307216 is a wasteful number, since it uses less digits than its factorization.

98307216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 98307216 is about 9914.9995461422. Note that the first 3 decimals coincide. The cubic root of 98307216 is about 461.5248952936.

The spelling of 98307216 in words is "ninety-eight million, three hundred seven thousand, two hundred sixteen".