98064 has 40 divisors (see below), whose sum is σ = 282720. Its totient is φ = 32544.

The previous prime is 98057. The next prime is 98081. The reversal of 98064 is 46089.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98064.

It is an unprimeable number.

98064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁹⁸⁰⁶⁴ 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 98064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

98064 is an abundant number, since it is smaller than the sum of its proper divisors (184656).

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

98064 is a wasteful number, since it uses less digits than its factorization.

98064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 98064 is about 313.1517204168. The cubic root of 98064 is about 46.1143970605.

The spelling of 98064 in words is "ninety-eight thousand, sixty-four".