987971992 has 64 divisors (see below), whose sum is σ = 2246745600. Its totient is φ = 398112000.

The previous prime is 987971987. The next prime is 987972019. The reversal of 987971992 is 299179789.

It is a self number, because there is not a number n which added to its sum of digits gives 987971992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69492 + ... + 82492.

It is an arithmetic number, because the mean of its divisors is an integer number (35105400).

Almost surely, 2^987971992 is an apocalyptic number.

987971992 is a gapful number since it is divisible by the number (92) 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 987971992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123372800).

987971992 is an abundant number, since it is smaller than the sum of its proper divisors (1258773608).

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

987971992 is a wasteful number, since it uses less digits than its factorization.

987971992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13092 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 61.

The square root of 987971992 is about 31432.0217612549. The cubic root of 987971992 is about 995.9744809406.

The spelling of 987971992 in words is "nine hundred eighty-seven million, nine hundred seventy-one thousand, nine hundred ninety-two".