98016 has 24 divisors (see below), whose sum is σ = 257544. Its totient is φ = 32640.

The previous prime is 98011. The next prime is 98017. The reversal of 98016 is 61089.

98016 = 3² + 4² + ... + 66².

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 415 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (10731).

2⁹⁸⁰¹⁶ is an apocalyptic number.

98016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

98016 is an abundant number, since it is smaller than the sum of its proper divisors (159528).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128772).

98016 is a wasteful number, since it uses less digits than its factorization.

98016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 98016 is about 313.0750708696. The cubic root of 98016 is about 46.1068718650.

The spelling of 98016 in words is "ninety-eight thousand, sixteen".