687834 has 48 divisors (see below), whose sum is σ = 1752192. Its totient is φ = 190944.

The previous prime is 687829. The next prime is 687839. The reversal of 687834 is 438786.

It is an interprime number because it is at equal distance from previous prime (687829) and next prime (687839).

It is a super-2 number, since 2×687834² = 946231223112, which contains 22 as substring.

Its product of digits (32256) is a multiple of the sum of its prime divisors (168).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (687839) by changing a digit.

687834 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6627 + ... + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (36504).

2⁶⁸⁷⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876096).

687834 is an abundant number, since it is smaller than the sum of its proper divisors (1064358).

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

687834 is a wasteful number, since it uses less digits than its factorization.

687834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 687834 is about 829.3575827109. The cubic root of 687834 is about 88.2729986310.

It can be divided in two parts, 687 and 834, that added together give a square (1521 = 39²).

The spelling of 687834 in words is "six hundred eighty-seven thousand, eight hundred thirty-four".