987611184 has 160 divisors (see below), whose sum is σ = 3410496000. Its totient is φ = 267307776.

The previous prime is 987611179. The next prime is 987611221. The reversal of 987611184 is 481116789.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48862 + ... + 66050.

It is an arithmetic number, because the mean of its divisors is an integer number (21315600).

Almost surely, 2^987611184 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 987611184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705248000).

987611184 is an abundant number, since it is smaller than the sum of its proper divisors (2422884816).

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

987611184 is a wasteful number, since it uses less digits than its factorization.

987611184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 17220 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 987611184 is about 31426.2817399704. The cubic root of 987611184 is about 995.8532226735.

It can be divided in two parts, 987 and 611184, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 987611184 in words is "nine hundred eighty-seven million, six hundred eleven thousand, one hundred eighty-four".