852608 has 16 divisors (see below), whose sum is σ = 1698810. Its totient is φ = 426240.

The previous prime is 852589. The next prime is 852613. The reversal of 852608 is 806258.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 322624 = 728^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852608.

It is an unprimeable number.

852608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3203 + ... + 3458.

2⁸⁵²⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

852608 is a deficient number, since it is larger than the sum of its proper divisors (846202).

852608 is an equidigital number, since it uses as much as digits as its factorization.

852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 852608 is about 923.3677490578. The cubic root of 852608 is about 94.8236061968.

The spelling of 852608 in words is "eight hundred fifty-two thousand, six hundred eight".