806128050 has 192 divisors, whose sum is σ = 2497340160. Its totient is φ = 167546880.

The previous prime is 806128031. The next prime is 806128069. The reversal of 806128050 is 50821608.

806128050 = 406² + 407² + ... + 1354².

It is an interprime number because it is at equal distance from previous prime (806128031) and next prime (806128069).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 806127999 and 806128017.

It is an unprimeable 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 95 ways as a sum of consecutive naturals, for example, 996046 + ... + 996854.

It is an arithmetic number, because the mean of its divisors is an integer number (13006980).

Almost surely, 2^806128050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806128050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248670080).

806128050 is an abundant number, since it is smaller than the sum of its proper divisors (1691212110).

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

806128050 is a wasteful number, since it uses less digits than its factorization.

806128050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 806128050 is about 28392.3942280323. The cubic root of 806128050 is about 930.6820641087.

Adding to 806128050 its reverse (50821608), we get a palindrome (856949658).

The spelling of 806128050 in words is "eight hundred six million, one hundred twenty-eight thousand, fifty".