685920 has 48 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 182784.

The previous prime is 685907. The next prime is 685939. The reversal of 685920 is 29586.

685920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

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 685920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁶⁸⁵⁹²⁰ is an apocalyptic number.

685920 is a gapful number since it is divisible by the number (60) 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 685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

685920 is an abundant number, since it is smaller than the sum of its proper divisors (1476240).

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

685920 is a wasteful number, since it uses less digits than its factorization.

685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 685920 is about 828.2028736970. The cubic root of 685920 is about 88.1910450028.

The spelling of 685920 in words is "six hundred eighty-five thousand, nine hundred twenty".