806525608 has 64 divisors (see below), whose sum is σ = 1773797760. Its totient is φ = 336669696.

The previous prime is 806525557. The next prime is 806525617.

806525608 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 338116 + ... + 340492.

It is an arithmetic number, because the mean of its divisors is an integer number (27715590).

Almost surely, 2^806525608 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 806525608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886898880).

806525608 is an abundant number, since it is smaller than the sum of its proper divisors (967272152).

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

806525608 is a wasteful number, since it uses less digits than its factorization.

806525608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 806525608 is about 28399.3945005875. The cubic root of 806525608 is about 930.8350337237.

The spelling of 806525608 in words is "eight hundred six million, five hundred twenty-five thousand, six hundred eight".