687966 has 8 divisors (see below), whose sum is σ = 1375944. Its totient is φ = 229320.

The previous prime is 687961. The next prime is 687977. The reversal of 687966 is 669786.

It is a happy number.

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

687966 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687966.

It is not an unprimeable number, because it can be changed into a prime (687961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57325 + ... + 57336.

It is an arithmetic number, because the mean of its divisors is an integer number (171993).

2⁶⁸⁷⁹⁶⁶ is an apocalyptic number.

687966 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.

687966 is a wasteful number, since it uses less digits than its factorization.

687966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114666.

The product of its digits is 108864, while the sum is 42.

The square root of 687966 is about 829.4371585599. The cubic root of 687966 is about 88.2786449984.

It can be divided in two parts, 687 and 966, that added together give a triangular number (1653 = T₅₇).

The spelling of 687966 in words is "six hundred eighty-seven thousand, nine hundred sixty-six".