987088464 has 80 divisors (see below), whose sum is σ = 2848230400. Its totient is φ = 327297024.

The previous prime is 987088463. The next prime is 987088471. The reversal of 987088464 is 464880789.

987088464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 987088464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987088463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77457 + ... + 89295.

It is an arithmetic number, because the mean of its divisors is an integer number (35602880).

Almost surely, 2^987088464 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 987088464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424115200).

987088464 is an abundant number, since it is smaller than the sum of its proper divisors (1861141936).

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

987088464 is a wasteful number, since it uses less digits than its factorization.

987088464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 987088464 is about 31417.9640333361. The cubic root of 987088464 is about 995.6774975599.

The spelling of 987088464 in words is "nine hundred eighty-seven million, eighty-eight thousand, four hundred sixty-four".