98720 has 24 divisors (see below), whose sum is σ = 233604. Its totient is φ = 39424.

The previous prime is 98717. The next prime is 98729. The reversal of 98720 is 2789.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 13456 = 292^2 + 116^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 98720.

It is not an unprimeable number, because it can be changed into a prime (98729) by changing a digit.

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, 149 + ... + 468.

2⁹⁸⁷²⁰ is an apocalyptic number.

It is an amenable number.

98720 is an abundant number, since it is smaller than the sum of its proper divisors (134884).

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 (116802).

98720 is a wasteful number, since it uses less digits than its factorization.

98720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 98720 is about 314.1973901865. The cubic root of 98720 is about 46.2169961766.

It can be divided in two parts, 98 and 720, that added together give a palindrome (818).

The spelling of 98720 in words is "ninety-eight thousand, seven hundred twenty".