987800016 has 120 divisors (see below), whose sum is σ = 2978172480. Its totient is φ = 281304576.

The previous prime is 987799997. The next prime is 987800017. The reversal of 987800016 is 610008789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987800017) 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 23 ways as a sum of consecutive naturals, for example, 1074405 + ... + 1075323.

It is an arithmetic number, because the mean of its divisors is an integer number (24818104).

Almost surely, 2^987800016 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 987800016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489086240).

987800016 is an abundant number, since it is smaller than the sum of its proper divisors (1990372464).

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

987800016 is a wasteful number, since it uses less digits than its factorization.

987800016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 987800016 is about 31429.2859607087. The cubic root of 987800016 is about 995.9166879234.

The spelling of 987800016 in words is "nine hundred eighty-seven million, eight hundred thousand, sixteen".