806814 has 32 divisors (see below), whose sum is σ = 1827840. Its totient is φ = 263736.

The previous prime is 806807. The next prime is 806821. The reversal of 806814 is 418608.

It is an interprime number because it is at equal distance from previous prime (806807) and next prime (806821).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 806814.

It is an unprimeable number.

806814 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 15 ways as a sum of consecutive naturals, for example, 3507 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (57120).

2⁸⁰⁶⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913920).

806814 is an abundant number, since it is smaller than the sum of its proper divisors (1021026).

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

806814 is a wasteful number, since it uses less digits than its factorization.

806814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 806814 is about 898.2282560686. The cubic root of 806814 is about 93.0945967745.

The spelling of 806814 in words is "eight hundred six thousand, eight hundred fourteen".