863784 has 80 divisors (see below), whose sum is σ = 2555520. Its totient is φ = 272160.

The previous prime is 863783. The next prime is 863801. The reversal of 863784 is 487368.

It is a super-2 number, since 2×863784² = 1492245597312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (863783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20067 + ... + 20109.

It is an arithmetic number, because the mean of its divisors is an integer number (31944).

2⁸⁶³⁷⁸⁴ 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 863784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277760).

863784 is an abundant number, since it is smaller than the sum of its proper divisors (1691736).

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

863784 is a wasteful number, since it uses less digits than its factorization.

863784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 863784 is about 929.3998063266. The cubic root of 863784 is about 95.2361254513.

The spelling of 863784 in words is "eight hundred sixty-three thousand, seven hundred eighty-four".