806388 has 48 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 236800.

The previous prime is 806383. The next prime is 806389. The reversal of 806388 is 883608.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 806388.

It is not an unprimeable number, because it can be changed into a prime (806381) by changing a digit.

806388 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, 5338 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁸⁰⁶³⁸⁸ 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 806388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

806388 is an abundant number, since it is smaller than the sum of its proper divisors (1310412).

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

806388 is a wasteful number, since it uses less digits than its factorization.

806388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

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

The square root of 806388 is about 897.9910912698. The cubic root of 806388 is about 93.0782091560.

The spelling of 806388 in words is "eight hundred six thousand, three hundred eighty-eight".