987768 has 64 divisors (see below), whose sum is σ = 2916000. Its totient is φ = 308736.

The previous prime is 987739. The next prime is 987793. The reversal of 987768 is 867789.

987768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987768.

It is an unprimeable number.

987768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3538 + ... + 3806.

2⁹⁸⁷⁷⁶⁸ 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 987768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458000).

987768 is an abundant number, since it is smaller than the sum of its proper divisors (1928232).

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

987768 is a wasteful number, since it uses less digits than its factorization.

987768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 987768 is about 993.8651820041. The cubic root of 987768 is about 99.5905928116.

The spelling of 987768 in words is "nine hundred eighty-seven thousand, seven hundred sixty-eight".