98976 has 24 divisors (see below), whose sum is σ = 260064. Its totient is φ = 32960.

The previous prime is 98963. The next prime is 98981. The reversal of 98976 is 67989.

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

It is an unprimeable number.

98976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (10836).

2⁹⁸⁹⁷⁶ is an apocalyptic number.

98976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

98976 is an abundant number, since it is smaller than the sum of its proper divisors (161088).

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 (130032).

98976 is a wasteful number, since it uses less digits than its factorization.

98976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 98976 is about 314.6045136358. The cubic root of 98976 is about 46.2569115554.

The spelling of 98976 in words is "ninety-eight thousand, nine hundred seventy-six".