98816 has 20 divisors (see below), whose sum is σ = 198462. Its totient is φ = 49152.

The previous prime is 98809. The next prime is 98837. The reversal of 98816 is 61889.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 6400 = 304^2 + 80^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 416 + ... + 608.

2⁹⁸⁸¹⁶ 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 98816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99231).

98816 is an abundant number, since it is smaller than the sum of its proper divisors (99646).

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

98816 is an equidigital number, since it uses as much as digits as its factorization.

98816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 98816 is about 314.3501232702. The cubic root of 98816 is about 46.2319725212.

The spelling of 98816 in words is "ninety-eight thousand, eight hundred sixteen".