813846 has 48 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 229680.

The previous prime is 813833. The next prime is 813847. The reversal of 813846 is 648318.

It is a happy number.

813846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon number.

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 813846.

It is not an unprimeable number, because it can be changed into a prime (813847) by changing a digit.

813846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13765 + ... + 13823.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁸¹³⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

813846 is an abundant number, since it is smaller than the sum of its proper divisors (1101354).

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

813846 is a wasteful number, since it uses less digits than its factorization.

813846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 813846 is about 902.1341363678. The cubic root of 813846 is about 93.3642782877.

The spelling of 813846 in words is "eight hundred thirteen thousand, eight hundred forty-six".