98800 has 60 divisors (see below), whose sum is σ = 269080. Its totient is φ = 34560.

The previous prime is 98779. The next prime is 98801. The reversal of 98800 is 889.

It is a super-2 number, since 2×98800² = 19522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98801) by changing a digit.

98800 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5191 + ... + 5209.

2⁹⁸⁸⁰⁰ 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 98800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134540).

98800 is an abundant number, since it is smaller than the sum of its proper divisors (170280).

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

98800 is a wasteful number, since it uses less digits than its factorization.

98800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 98800 is about 314.3246729100. The cubic root of 98800 is about 46.2294771376.

It can be divided in two parts, 98 and 800, that multiplied together give a square (78400 = 280²).

The spelling of 98800 in words is "ninety-eight thousand, eight hundred".