806486240 has 96 divisors (see below), whose sum is σ = 2183086080. Its totient is φ = 275802624.

The previous prime is 806486221. The next prime is 806486243. The reversal of 806486240 is 42684608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 806486194 and 806486203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806486243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629921 + ... + 631199.

It is an arithmetic number, because the mean of its divisors is an integer number (22740480).

Almost surely, 2^806486240 is an apocalyptic number.

806486240 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 806486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091543040).

806486240 is an abundant number, since it is smaller than the sum of its proper divisors (1376599840).

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

806486240 is a wasteful number, since it uses less digits than its factorization.

806486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 806486240 is about 28398.7013787603. The cubic root of 806486240 is about 930.8198882199.

The spelling of 806486240 in words is "eight hundred six million, four hundred eighty-six thousand, two hundred forty".