987684992 has 64 divisors (see below), whose sum is σ = 2256109440. Its totient is φ = 421908480.

The previous prime is 987684983. The next prime is 987685001. The reversal of 987684992 is 299486789.

It is an interprime number because it is at equal distance from previous prime (987684983) and next prime (987685001).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300317 + ... + 303587.

It is an arithmetic number, because the mean of its divisors is an integer number (35251710).

Almost surely, 2^987684992 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 987684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128054720).

987684992 is an abundant number, since it is smaller than the sum of its proper divisors (1268424448).

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

987684992 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (987684991) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3629).

987684992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3617 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 62.

The square root of 987684992 is about 31427.4560217654. The cubic root of 987684992 is about 995.8780300420.

The spelling of 987684992 in words is "nine hundred eighty-seven million, six hundred eighty-four thousand, nine hundred ninety-two".