987968 has 28 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 481152.

The previous prime is 987941. The next prime is 987971. The reversal of 987968 is 869789.

It is a super-3 number, since 3×987968³ = 2893009695633309696, which contains 333 as substring.

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 987968.

It is an unprimeable number.

987968 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 3 ways as a sum of consecutive naturals, for example, 2573 + ... + 2931.

2⁹⁸⁷⁹⁶⁸ 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 987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).

987968 is an abundant number, since it is smaller than the sum of its proper divisors (1023712).

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

987968 is a wasteful number, since it uses less digits than its factorization.

987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its digits is 217728, while the sum is 47.

The square root of 987968 is about 993.9657941801. The cubic root of 987968 is about 99.5973139494.

The spelling of 987968 in words is "nine hundred eighty-seven thousand, nine hundred sixty-eight".