987438816 has 384 divisors, whose sum is σ = 3736857600. Its totient is φ = 246343680.

The previous prime is 987438773. The next prime is 987438817. The reversal of 987438816 is 618834789.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987438817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1493526 + ... + 1494186.

It is an arithmetic number, because the mean of its divisors is an integer number (9731400).

Almost surely, 2^987438816 is an apocalyptic number.

987438816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868428800).

987438816 is an abundant number, since it is smaller than the sum of its proper divisors (2749418784).

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

987438816 is a wasteful number, since it uses less digits than its factorization.

987438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 987438816 is about 31423.5392023241. The cubic root of 987438816 is about 995.7952838077.

The spelling of 987438816 in words is "nine hundred eighty-seven million, four hundred thirty-eight thousand, eight hundred sixteen".