806731536 has 160 divisors (see below), whose sum is σ = 2309852160. Its totient is φ = 241113600.

The previous prime is 806731477. The next prime is 806731573. The reversal of 806731536 is 635137608.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 806731494 and 806731503.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5803755 + ... + 5803893.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2^806731536 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 806731536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

806731536 is an abundant number, since it is smaller than the sum of its proper divisors (1503120624).

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

806731536 is a wasteful number, since it uses less digits than its factorization.

806731536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 806731536 is about 28403.0198394466. The cubic root of 806731536 is about 930.9142495118.

The spelling of 806731536 in words is "eight hundred six million, seven hundred thirty-one thousand, five hundred thirty-six".