687414 has 32 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 181152.

The previous prime is 687413. The next prime is 687431. The reversal of 687414 is 414786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687413) 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, 84 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁶⁸⁷⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

687414 is an abundant number, since it is smaller than the sum of its proper divisors (1006026).

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

687414 is a wasteful number, since it uses less digits than its factorization.

687414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284.

The product of its digits is 5376, while the sum is 30.

The square root of 687414 is about 829.1043360157. The cubic root of 687414 is about 88.2550281090.

The spelling of 687414 in words is "six hundred eighty-seven thousand, four hundred fourteen".