987217200 has 480 divisors, whose sum is σ = 3930105600. Its totient is φ = 233902080.

The previous prime is 987217193. The next prime is 987217237. The reversal of 987217200 is 2712789.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3488259 + ... + 3488541.

It is an arithmetic number, because the mean of its divisors is an integer number (8187720).

Almost surely, 2^987217200 is an apocalyptic number.

987217200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965052800).

987217200 is an abundant number, since it is smaller than the sum of its proper divisors (2942888400).

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

987217200 is a wasteful number, since it uses less digits than its factorization.

987217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 987217200 is about 31420.0127307422. The cubic root of 987217200 is about 995.7207810720.

Adding to 987217200 its reverse (2712789), we get a palindrome (989929989).

It can be divided in two parts, 9872 and 17200, that added together give a palindrome (27072).

The spelling of 987217200 in words is "nine hundred eighty-seven million, two hundred seventeen thousand, two hundred".