687846 has 8 divisors (see below), whose sum is σ = 1375704. Its totient is φ = 229280.

The previous prime is 687839. The next prime is 687847. The reversal of 687846 is 648786.

It is a sphenic number, since it is the product of 3 distinct primes.

687846 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687847) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 57315 + ... + 57326.

It is an arithmetic number, because the mean of its divisors is an integer number (171963).

2⁶⁸⁷⁸⁴⁶ is an apocalyptic number.

687846 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

687846 is a wasteful number, since it uses less digits than its factorization.

687846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114646.

The product of its digits is 64512, while the sum is 39.

The square root of 687846 is about 829.3648171945. The cubic root of 687846 is about 88.2735119670.

Subtracting from 687846 its reverse (648786), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 6 and 87846, that multiplied together give a square (527076 = 726²).

The spelling of 687846 in words is "six hundred eighty-seven thousand, eight hundred forty-six".