987894144 has 128 divisors (see below), whose sum is σ = 2952492000. Its totient is φ = 329204736.

The previous prime is 987894109. The next prime is 987894197. The reversal of 987894144 is 441498789.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278172 + ... + 281700.

Almost surely, 2^987894144 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 987894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476246000).

987894144 is an abundant number, since it is smaller than the sum of its proper divisors (1964597856).

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

987894144 is an frugal number, since it uses more digits than its factorization.

987894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3534 counting only the distinct ones).

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

The square root of 987894144 is about 31430.7833819013. The cubic root of 987894144 is about 995.9483207327.

The spelling of 987894144 in words is "nine hundred eighty-seven million, eight hundred ninety-four thousand, one hundred forty-four".