685734 has 32 divisors (see below), whose sum is σ = 1624320. Its totient is φ = 188832.

The previous prime is 685733. The next prime is 685739. The reversal of 685734 is 437586.

It is a super-2 number, since 2×685734² = 940462237512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 685695 and 685704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (50760).

2⁶⁸⁵⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812160).

685734 is an abundant number, since it is smaller than the sum of its proper divisors (938586).

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

685734 is a wasteful number, since it uses less digits than its factorization.

685734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its digits is 20160, while the sum is 33.

The square root of 685734 is about 828.0905747562. The cubic root of 685734 is about 88.1830727333.

The spelling of 685734 in words is "six hundred eighty-five thousand, seven hundred thirty-four".