987616560 has 240 divisors, whose sum is σ = 3593314656. Its totient is φ = 223727616.

The previous prime is 987616559. The next prime is 987616571. The reversal of 987616560 is 65616789.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 1610814 + ... + 1611426.

Almost surely, 2^987616560 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 987616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796657328).

987616560 is an abundant number, since it is smaller than the sum of its proper divisors (2605698096).

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

987616560 is a wasteful number, since it uses less digits than its factorization.

987616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 987616560 is about 31426.3672733582. The cubic root of 987616560 is about 995.8550296252.

The spelling of 987616560 in words is "nine hundred eighty-seven million, six hundred sixteen thousand, five hundred sixty".