987168 has 96 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 258048.

The previous prime is 987143. The next prime is 987191. The reversal of 987168 is 861789.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8680 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁹⁸⁷¹⁶⁸ 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 987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

987168 is an abundant number, since it is smaller than the sum of its proper divisors (2230368).

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

987168 is a wasteful number, since it uses less digits than its factorization.

987168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

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

The square root of 987168 is about 993.5632843458. The cubic root of 987168 is about 99.5704239533.

The spelling of 987168 in words is "nine hundred eighty-seven thousand, one hundred sixty-eight".