864084 has 48 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 255360.

The previous prime is 864079. The next prime is 864091. The reversal of 864084 is 480468.

It is a congruent number.

It is an unprimeable number.

864084 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 4429 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2⁸⁶⁴⁰⁸⁴ 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 864084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

864084 is an abundant number, since it is smaller than the sum of its proper divisors (1393836).

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

864084 is a wasteful number, since it uses less digits than its factorization.

864084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 864084 is about 929.5611867973. The cubic root of 864084 is about 95.2471496312.

The spelling of 864084 in words is "eight hundred sixty-four thousand, eighty-four".