867984 has 60 divisors (see below), whose sum is σ = 2450736. Its totient is φ = 264576.

The previous prime is 867959. The next prime is 867991. The reversal of 867984 is 489768.

It is a happy number.

867984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (96768) is a multiple of the sum of its prime factors (144).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8059 + ... + 8165.

2⁸⁶⁷⁹⁸⁴ 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 867984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225368).

867984 is an abundant number, since it is smaller than the sum of its proper divisors (1582752).

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

867984 is a wasteful number, since it uses less digits than its factorization.

867984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 867984 is about 931.6565890928. The cubic root of 867984 is about 95.3902323329.

The spelling of 867984 in words is "eight hundred sixty-seven thousand, nine hundred eighty-four".