806562540 has 216 divisors, whose sum is σ = 2996426160. Its totient is φ = 174617856.

The previous prime is 806562511. The next prime is 806562541. The reversal of 806562540 is 45265608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 806562495 and 806562504.

It is not an unprimeable number, because it can be changed into a prime (806562541) 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 71 ways as a sum of consecutive naturals, for example, 165174 + ... + 169986.

Almost surely, 2^806562540 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 806562540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498213080).

806562540 is an abundant number, since it is smaller than the sum of its proper divisors (2189863620).

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

806562540 is a wasteful number, since it uses less digits than its factorization.

806562540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 806562540 is about 28400.0447182747. The cubic root of 806562540 is about 930.8492416110.

The spelling of 806562540 in words is "eight hundred six million, five hundred sixty-two thousand, five hundred forty".