852948 has 72 divisors (see below), whose sum is σ = 2402400. Its totient is φ = 254016.

The previous prime is 852937. The next prime is 852953. The reversal of 852948 is 849258.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (23040) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852948.

It is an unprimeable number.

852948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19815 + ... + 19857.

2⁸⁵²⁹⁴⁸ 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 852948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201200).

852948 is an abundant number, since it is smaller than the sum of its proper divisors (1549452).

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

852948 is a wasteful number, since it uses less digits than its factorization.

852948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 852948 is about 923.5518393680. The cubic root of 852948 is about 94.8362089957.

The spelling of 852948 in words is "eight hundred fifty-two thousand, nine hundred forty-eight".