987840000 has 600 divisors, whose sum is σ = 4154607600. Its totient is φ = 225792000.

The previous prime is 987839987. The next prime is 987840013. The reversal of 987840000 is 48789.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (987839987) and next prime (987840013).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 141119997 + ... + 141120003.

It is an arithmetic number, because the mean of its divisors is an integer number (6924346).

Almost surely, 2^987840000 is an apocalyptic number.

987840000 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 987840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077303800).

987840000 is an abundant number, since it is smaller than the sum of its proper divisors (3166767600).

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

987840000 is an frugal number, since it uses more digits than its factorization.

987840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 987840000 is about 31429.9220489011. The cubic root of 987840000 is about 995.9301252572.

Adding to 987840000 its reverse (48789), we get a palindrome (987888789).

The spelling of 987840000 in words is "nine hundred eighty-seven million, eight hundred forty thousand".