98820 has 60 divisors (see below), whose sum is σ = 315084. Its totient is φ = 25920.

The previous prime is 98809. The next prime is 98837. The reversal of 98820 is 2889.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 82944 = 126^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1590 + ... + 1650.

2⁹⁸⁸²⁰ is an apocalyptic number.

98820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157542).

98820 is an abundant number, since it is smaller than the sum of its proper divisors (216264).

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

98820 is a wasteful number, since it uses less digits than its factorization.

98820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 98820 is about 314.3564855383. The cubic root of 98820 is about 46.2325963250.

The spelling of 98820 in words is "ninety-eight thousand, eight hundred twenty".