987123200 has 240 divisors, whose sum is σ = 2922670080. Its totient is φ = 323051520.

The previous prime is 987123113. The next prime is 987123209. The reversal of 987123200 is 2321789.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987123209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060561 + ... + 2061039.

It is an arithmetic number, because the mean of its divisors is an integer number (12177792).

Almost surely, 2^987123200 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 987123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461335040).

987123200 is an abundant number, since it is smaller than the sum of its proper divisors (1935546880).

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

987123200 is a wasteful number, since it uses less digits than its factorization.

987123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 987123200 is about 31418.5168332307. The cubic root of 987123200 is about 995.6891768400.

Adding to 987123200 its reverse (2321789), we get a palindrome (989444989).

The spelling of 987123200 in words is "nine hundred eighty-seven million, one hundred twenty-three thousand, two hundred".