987646608 has 300 divisors, whose sum is σ = 3233076924. Its totient is φ = 289267200.

The previous prime is 987646601. The next prime is 987646609. The reversal of 987646608 is 806646789.

987646608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 907937424 = 8928^2 + 30132^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987646601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16190898 + ... + 16190958.

Almost surely, 2^987646608 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 987646608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616538462).

987646608 is an abundant number, since it is smaller than the sum of its proper divisors (2245430316).

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

987646608 is a wasteful number, since it uses less digits than its factorization.

987646608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 987646608 is about 31426.8453396137. The cubic root of 987646608 is about 995.8651290739.

The spelling of 987646608 in words is "nine hundred eighty-seven million, six hundred forty-six thousand, six hundred eight".