685952 has 32 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 326656.

The previous prime is 685939. The next prime is 685963. The reversal of 685952 is 259586.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (21600) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is an unprimeable number.

685952 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 3 ways as a sum of consecutive naturals, for example, 2828 + ... + 3060.

2⁶⁸⁵⁹⁵² 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 685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

685952 is an abundant number, since it is smaller than the sum of its proper divisors (746128).

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

685952 is a wasteful number, since it uses less digits than its factorization.

685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 685952 is about 828.2221924097. Note that the first 3 decimals coincide. The cubic root of 685952 is about 88.1924164307.

It can be divided in two parts, 6 and 85952, that added together give a palindrome (85958).

The spelling of 685952 in words is "six hundred eighty-five thousand, nine hundred fifty-two".