863720 has 64 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 288000.

The previous prime is 863711. The next prime is 863729. The reversal of 863720 is 27368.

It is an interprime number because it is at equal distance from previous prime (863711) and next prime (863729).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 863720.

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 863720.

It is not an unprimeable number, because it can be changed into a prime (863729) by changing a digit.

863720 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, 5645 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁸⁶³⁷²⁰ 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 863720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

863720 is an abundant number, since it is smaller than the sum of its proper divisors (1434520).

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

863720 is a wasteful number, since it uses less digits than its factorization.

863720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 863720 is about 929.3653748661. The cubic root of 863720 is about 95.2337732959.

The spelling of 863720 in words is "eight hundred sixty-three thousand, seven hundred twenty".