987914880 has 640 divisors, whose sum is σ = 3998808000. Its totient is φ = 230916096.

The previous prime is 987914867. The next prime is 987914881. The reversal of 987914880 is 88419789.

987914880 is a `hidden beast` number, since 98 + 79 + 1 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (987914881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16744291 + ... + 16744349.

Almost surely, 2^987914880 is an apocalyptic number.

987914880 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 987914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999404000).

987914880 is an abundant number, since it is smaller than the sum of its proper divisors (3010893120).

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

987914880 is a wasteful number, since it uses less digits than its factorization.

987914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 987914880 is about 31431.1132478632. The cubic root of 987914880 is about 995.9552890366.

The spelling of 987914880 in words is "nine hundred eighty-seven million, nine hundred fourteen thousand, eight hundred eighty".