987816960 has 528 divisors, whose sum is σ = 3943111536. Its totient is φ = 226492416.

The previous prime is 987816931. The next prime is 987816961. The reversal of 987816960 is 69618789.

It can be written as a sum of positive squares in 8 ways, for example, as 20358144 + 967458816 = 4512^2 + 31104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 987816897 and 987816906.

It is not an unprimeable number, because it can be changed into a prime (987816961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183632 + ... + 10183728.

Almost surely, 2^987816960 is an apocalyptic number.

987816960 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 987816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971555768).

987816960 is an abundant number, since it is smaller than the sum of its proper divisors (2955294576).

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

987816960 is a wasteful number, since it uses less digits than its factorization.

987816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 987816960 is about 31429.5555170607. Note that the first 4 decimals coincide. The cubic root of 987816960 is about 995.9223823000.

The spelling of 987816960 in words is "nine hundred eighty-seven million, eight hundred sixteen thousand, nine hundred sixty".