863880 has 64 divisors (see below), whose sum is σ = 2712960. Its totient is φ = 219648.

The previous prime is 863879. The next prime is 863887. The reversal of 863880 is 88368.

863880 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (863887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2604 + ... + 2916.

It is an arithmetic number, because the mean of its divisors is an integer number (42390).

2⁸⁶³⁸⁸⁰ 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 863880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356480).

863880 is an abundant number, since it is smaller than the sum of its proper divisors (1849080).

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

863880 is a wasteful number, since it uses less digits than its factorization.

863880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 863880 is about 929.4514511259. The cubic root of 863880 is about 95.2396534666.

The spelling of 863880 in words is "eight hundred sixty-three thousand, eight hundred eighty".