987321600 has 324 divisors, whose sum is σ = 3600532572. Its totient is φ = 258048000.

The previous prime is 987321557. The next prime is 987321607. The reversal of 987321600 is 6123789.

It can be written as a sum of positive squares in 6 ways, for example, as 118722816 + 868598784 = 10896^2 + 29472^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987321607) 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 35 ways as a sum of consecutive naturals, for example, 3513460 + ... + 3513740.

Almost surely, 2^987321600 is an apocalyptic number.

987321600 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 987321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800266286).

987321600 is an abundant number, since it is smaller than the sum of its proper divisors (2613210972).

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

987321600 is a wasteful number, since it uses less digits than its factorization.

987321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 987321600 is about 31421.6740483380. The cubic root of 987321600 is about 995.7558795911.

The spelling of 987321600 in words is "nine hundred eighty-seven million, three hundred twenty-one thousand, six hundred".