806573712 has 120 divisors (see below), whose sum is σ = 2551548000. Its totient is φ = 218308608.

The previous prime is 806573711. The next prime is 806573737. The reversal of 806573712 is 217375608.

It is a super-2 number, since 2×806573712² = 1301122305778917888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (806573711) 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 23 ways as a sum of consecutive naturals, for example, 35664 + ... + 53712.

It is an arithmetic number, because the mean of its divisors is an integer number (21262900).

Almost surely, 2^806573712 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 806573712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275774000).

806573712 is an abundant number, since it is smaller than the sum of its proper divisors (1744974288).

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

806573712 is a wasteful number, since it uses less digits than its factorization.

806573712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 806573712 is about 28400.2414074247. The cubic root of 806573712 is about 930.8535394383.

The spelling of 806573712 in words is "eight hundred six million, five hundred seventy-three thousand, seven hundred twelve".