806010 has 32 divisors (see below), whose sum is σ = 1968192. Its totient is φ = 211200.

The previous prime is 806009. The next prime is 806011. The reversal of 806010 is 10608.

806010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (806009) and next prime (806011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (806011) 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, 1810 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (61506).

2⁸⁰⁶⁰¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984096).

806010 is an abundant number, since it is smaller than the sum of its proper divisors (1162182).

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

806010 is a wasteful number, since it uses less digits than its factorization.

806010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 806010 is about 897.7805968053. The cubic root of 806010 is about 93.0636631963.

Adding to 806010 its reverse (10608), we get a palindrome (816618).

The spelling of 806010 in words is "eight hundred six thousand, ten".