863850 has 48 divisors (see below), whose sum is σ = 2312352. Its totient is φ = 212160.

The previous prime is 863843. The next prime is 863851. The reversal of 863850 is 58368.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (863851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1729 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

2⁸⁶³⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156176).

863850 is an abundant number, since it is smaller than the sum of its proper divisors (1448502).

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

863850 is a wasteful number, since it uses less digits than its factorization.

863850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 863850 is about 929.4353124344. The cubic root of 863850 is about 95.2385509899.

The spelling of 863850 in words is "eight hundred sixty-three thousand, eight hundred fifty".