987632800 has 144 divisors (see below), whose sum is σ = 3006182592. Its totient is φ = 307814400.

The previous prime is 987632777. The next prime is 987632819. The reversal of 987632800 is 8236789.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53584 + ... + 69616.

It is an arithmetic number, because the mean of its divisors is an integer number (20876268).

Almost surely, 2^987632800 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 987632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503091296).

987632800 is an abundant number, since it is smaller than the sum of its proper divisors (2018549792).

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

987632800 is a wasteful number, since it uses less digits than its factorization.

987632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16058 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 987632800 is about 31426.6256540533. The cubic root of 987632800 is about 995.8604880854.

The spelling of 987632800 in words is "nine hundred eighty-seven million, six hundred thirty-two thousand, eight hundred".