687828 has 36 divisors (see below), whose sum is σ = 1696128. Its totient is φ = 216720.

The previous prime is 687823. The next prime is 687829. The reversal of 687828 is 828786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687823) by changing a digit.

687828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15975 + ... + 16017.

2⁶⁸⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

687828 is an abundant number, since it is smaller than the sum of its proper divisors (1008300).

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

687828 is a wasteful number, since it uses less digits than its factorization.

687828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 687828 is about 829.3539654454. The cubic root of 687828 is about 88.2727419608.

The spelling of 687828 in words is "six hundred eighty-seven thousand, eight hundred twenty-eight".