98880 has 56 divisors (see below), whose sum is σ = 316992. Its totient is φ = 26112.

The previous prime is 98873. The next prime is 98887. The reversal of 98880 is 8889.

98880 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (98873) and next prime (98887).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98887) by changing a digit.

98880 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, 909 + ... + 1011.

2⁹⁸⁸⁸⁰ 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 98880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496).

98880 is an abundant number, since it is smaller than the sum of its proper divisors (218112).

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

98880 is a wasteful number, since it uses less digits than its factorization.

98880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 98880 is about 314.4519041125. The cubic root of 98880 is about 46.2419513630.

The spelling of 98880 in words is "ninety-eight thousand, eight hundred eighty".