806130 has 72 divisors (see below), whose sum is σ = 2312388. Its totient is φ = 194688.

The previous prime is 806129. The next prime is 806137. The reversal of 806130 is 31608.

806130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 145161 + 660969 = 381^2 + 813^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (806137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15184 + ... + 15236.

2⁸⁰⁶¹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156194).

806130 is an abundant number, since it is smaller than the sum of its proper divisors (1506258).

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

806130 is a wasteful number, since it uses less digits than its factorization.

806130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 806130 is about 897.8474257913. The cubic root of 806130 is about 93.0682814539.

Adding to 806130 its reverse (31608), we get a palindrome (837738).

The spelling of 806130 in words is "eight hundred six thousand, one hundred thirty".