987648480 has 288 divisors, whose sum is σ = 4148673984. Its totient is φ = 208355328.

The previous prime is 987648469. The next prime is 987648503. The reversal of 987648480 is 84846789.

987648480 is a `hidden beast` number, since 9 + 87 + 6 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127272 + ... + 134808.

It is an arithmetic number, because the mean of its divisors is an integer number (14405118).

Almost surely, 2^987648480 is an apocalyptic number.

987648480 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 987648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074336992).

987648480 is an abundant number, since it is smaller than the sum of its proper divisors (3161025504).

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

987648480 is a wasteful number, since it uses less digits than its factorization.

987648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 987648480 is about 31426.8751230535. The cubic root of 987648480 is about 995.8657582660.

The spelling of 987648480 in words is "nine hundred eighty-seven million, six hundred forty-eight thousand, four hundred eighty".