687126 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 200480.

The previous prime is 687121. The next prime is 687131. The reversal of 687126 is 621786.

It is a happy number.

687126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (687121) and next prime (687131).

It is a junction number, because it is equal to n+sod(n) for n = 687093 and 687102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁶⁸⁷¹²⁶ is an apocalyptic number.

687126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 687126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

687126 is an abundant number, since it is smaller than the sum of its proper divisors (868074).

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

687126 is a wasteful number, since it uses less digits than its factorization.

687126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its digits is 4032, while the sum is 30.

The square root of 687126 is about 828.9306364226. The cubic root of 687126 is about 88.2427012344.

The spelling of 687126 in words is "six hundred eighty-seven thousand, one hundred twenty-six".