684852 has 48 divisors (see below), whose sum is σ = 1892352. Its totient is φ = 188640.

The previous prime is 684841. The next prime is 684857. The reversal of 684852 is 258486.

684852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684857) by changing a digit.

684852 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 15 ways as a sum of consecutive naturals, for example, 2473 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (39424).

2⁶⁸⁴⁸⁵² is an apocalyptic number.

684852 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946176).

684852 is an abundant number, since it is smaller than the sum of its proper divisors (1207500).

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

684852 is a wasteful number, since it uses less digits than its factorization.

684852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

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

The square root of 684852 is about 827.5578529626. The cubic root of 684852 is about 88.1452491067.

The spelling of 684852 in words is "six hundred eighty-four thousand, eight hundred fifty-two".