987200 has 42 divisors (see below), whose sum is σ = 2433066. Its totient is φ = 394240.

The previous prime is 987199. The next prime is 987209. The reversal of 987200 is 2789.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 984064 = 56^2 + 992^2 .

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 987200.

It is not an unprimeable number, because it can be changed into a prime (987209) 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, 1292 + ... + 1908.

2⁹⁸⁷²⁰⁰ 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 987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216533).

987200 is an abundant number, since it is smaller than the sum of its proper divisors (1445866).

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

987200 is a wasteful number, since it uses less digits than its factorization.

987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

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

The square root of 987200 is about 993.5793878699. The cubic root of 987200 is about 99.5714998320.

Adding to 987200 its reverse (2789), we get a palindrome (989989).

It can be divided in two parts, 98 and 7200, that multiplied together give a square (705600 = 840²).

The spelling of 987200 in words is "nine hundred eighty-seven thousand, two hundred".