89800 has 24 divisors (see below), whose sum is σ = 209250. Its totient is φ = 35840.

The previous prime is 89797. The next prime is 89809. The reversal of 89800 is 898.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 19044 = 266^2 + 138^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (89809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25 + ... + 424.

2⁸⁹⁸⁰⁰ 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 89800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104625).

89800 is an abundant number, since it is smaller than the sum of its proper divisors (119450).

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

89800 is a wasteful number, since it uses less digits than its factorization.

89800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

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

The square root of 89800 is about 299.6664812754. Note that the first 3 decimals coincide. The cubic root of 89800 is about 44.7808272551.

Multiplying 89800 by its reverse (898), we get a square (80640400 = 8980²).

89800 divided by its reverse (898) gives a square (100 = 10²).

It can be divided in two parts, 8 and 9800, that multiplied together give a square (78400 = 280²).

The spelling of 89800 in words is "eighty-nine thousand, eight hundred".