987952560 has 160 divisors (see below), whose sum is σ = 3509870592. Its totient is φ = 225192960.

The previous prime is 987952531. The next prime is 987952573. The reversal of 987952560 is 65259789.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908337 + ... + 909423.

Almost surely, 2^987952560 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 987952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754935296).

987952560 is an abundant number, since it is smaller than the sum of its proper divisors (2521918032).

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

987952560 is a wasteful number, since it uses less digits than its factorization.

987952560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 987952560 is about 31431.7126482157. The cubic root of 987952560 is about 995.9679510986.

The spelling of 987952560 in words is "nine hundred eighty-seven million, nine hundred fifty-two thousand, five hundred sixty".