687264 has 24 divisors (see below), whose sum is σ = 1804320. Its totient is φ = 229056.

The previous prime is 687233. The next prime is 687277. The reversal of 687264 is 462786.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687264.

It is an unprimeable number.

687264 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 3 ways as a sum of consecutive naturals, for example, 3484 + ... + 3675.

It is an arithmetic number, because the mean of its divisors is an integer number (75180).

2⁶⁸⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

687264 is an abundant number, since it is smaller than the sum of its proper divisors (1117056).

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

687264 is a wasteful number, since it uses less digits than its factorization.

687264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7164 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 687264 is about 829.0138720190. The cubic root of 687264 is about 88.2486082915.

The spelling of 687264 in words is "six hundred eighty-seven thousand, two hundred sixty-four".