806602456 has 48 divisors (see below), whose sum is σ = 1734692400. Its totient is φ = 350687040.

The previous prime is 806602441. The next prime is 806602457. The reversal of 806602456 is 654206608.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806602457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4150 + ... + 40378.

It is an arithmetic number, because the mean of its divisors is an integer number (36139425).

Almost surely, 2^806602456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806602456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867346200).

806602456 is an abundant number, since it is smaller than the sum of its proper divisors (928089944).

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

806602456 is a wasteful number, since it uses less digits than its factorization.

806602456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36280 (or 36265 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 806602456 is about 28400.7474549527. The cubic root of 806602456 is about 930.8645969672.

The spelling of 806602456 in words is "eight hundred six million, six hundred two thousand, four hundred fifty-six".