981200 has 60 divisors (see below), whose sum is σ = 2583168. Its totient is φ = 355200.

The previous prime is 981199. The next prime is 981209. The reversal of 981200 is 2189.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4289 + ... + 4511.

2⁹⁸¹²⁰⁰ 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 981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584).

981200 is an abundant number, since it is smaller than the sum of its proper divisors (1601968).

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

981200 is a wasteful number, since it uses less digits than its factorization.

981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 981200 is about 990.5553997632. Note that the first 3 decimals coincide. The cubic root of 981200 is about 99.3693646845.

Adding to 981200 its reverse (2189), we get a palindrome (983389).

The spelling of 981200 in words is "nine hundred eighty-one thousand, two hundred".