987530624 has 64 divisors (see below), whose sum is σ = 2077617600. Its totient is φ = 466260480.

The previous prime is 987530623. The next prime is 987530659. The reversal of 987530624 is 426035789.

It is a Cunningham number, because it is equal to 31425²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987530623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1193699 + ... + 1194525.

It is an arithmetic number, because the mean of its divisors is an integer number (32462775).

Almost surely, 2^987530624 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 987530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038808800).

987530624 is an abundant number, since it is smaller than the sum of its proper divisors (1090086976).

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

987530624 is a wasteful number, since it uses less digits than its factorization.

987530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 987530624 is about 31424.9999840891. Note that the first 4 decimals coincide. The cubic root of 987530624 is about 995.8261445013.

The spelling of 987530624 in words is "nine hundred eighty-seven million, five hundred thirty thousand, six hundred twenty-four".