987280560 has 480 divisors, whose sum is σ = 4011171840. Its totient is φ = 212889600.

The previous prime is 987280549. The next prime is 987280561. The reversal of 987280560 is 65082789.

987280560 is a `hidden beast` number, since 9 + 8 + 7 + 2 + 80 + 560 = 666.

987280560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987280561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11092996 + ... + 11093084.

It is an arithmetic number, because the mean of its divisors is an integer number (8356608).

Almost surely, 2^987280560 is an apocalyptic number.

987280560 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 987280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005585920).

987280560 is an abundant number, since it is smaller than the sum of its proper divisors (3023891280).

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

987280560 is a wasteful number, since it uses less digits than its factorization.

987280560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 987280560 is about 31421.0209891404. The cubic root of 987280560 is about 995.7420825374.

The spelling of 987280560 in words is "nine hundred eighty-seven million, two hundred eighty thousand, five hundred sixty".