987964992 has 112 divisors (see below), whose sum is σ = 3319393920. Its totient is φ = 282272256.

The previous prime is 987964981. The next prime is 987965057. The reversal of 987964992 is 299469789.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28743 + ... + 52934.

Almost surely, 2^987964992 is an apocalyptic number.

It is an amenable number.

987964992 is an abundant number, since it is smaller than the sum of its proper divisors (2331428928).

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

987964992 is a wasteful number, since it uses less digits than its factorization.

987964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81705 (or 81689 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 987964992 is about 31431.9104096458. The cubic root of 987964992 is about 995.9721287019.

The spelling of 987964992 in words is "nine hundred eighty-seven million, nine hundred sixty-four thousand, nine hundred ninety-two".