806610240 has 336 divisors, whose sum is σ = 2909986560. Its totient is φ = 204902400.

The previous prime is 806610229. The next prime is 806610241. The reversal of 806610240 is 42016608.

806610240 is a `hidden beast` number, since 8 + 0 + 6 + 610 + 2 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806610241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7986190 + ... + 7986290.

Almost surely, 2^806610240 is an apocalyptic number.

806610240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

806610240 is an abundant number, since it is smaller than the sum of its proper divisors (2103376320).

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

806610240 is a wasteful number, since it uses less digits than its factorization.

806610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 806610240 is about 28400.8844932689. The cubic root of 806610240 is about 930.8675913488.

Adding to 806610240 its reverse (42016608), we get a palindrome (848626848).

The spelling of 806610240 in words is "eight hundred six million, six hundred ten thousand, two hundred forty".