987524064 has 144 divisors (see below), whose sum is σ = 2892380400. Its totient is φ = 319469568.

The previous prime is 987524047. The next prime is 987524093. The reversal of 987524064 is 460425789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1511962 + ... + 1512614.

It is an arithmetic number, because the mean of its divisors is an integer number (20085975).

Almost surely, 2^987524064 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 987524064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446190200).

987524064 is an abundant number, since it is smaller than the sum of its proper divisors (1904856336).

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

987524064 is a wasteful number, since it uses less digits than its factorization.

987524064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 987524064 is about 31424.8956084185. The cubic root of 987524064 is about 995.8239394612.

The spelling of 987524064 in words is "nine hundred eighty-seven million, five hundred twenty-four thousand, sixty-four".