852648 has 16 divisors (see below), whose sum is σ = 2131680. Its totient is φ = 284208.

The previous prime is 852641. The next prime is 852661. The reversal of 852648 is 846258.

It is a super-2 number, since 2×852648² = 1454017223808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (852641) by changing a digit.

852648 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17740 + ... + 17787.

It is an arithmetic number, because the mean of its divisors is an integer number (133230).

2⁸⁵²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

852648 is an abundant number, since it is smaller than the sum of its proper divisors (1279032).

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

852648 is a wasteful number, since it uses less digits than its factorization.

852648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35536 (or 35532 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 852648 is about 923.3894086462. The cubic root of 852648 is about 94.8250890529.

The spelling of 852648 in words is "eight hundred fifty-two thousand, six hundred forty-eight".