684264 has 32 divisors (see below), whose sum is σ = 1955520. Its totient is φ = 195456.

The previous prime is 684239. The next prime is 684269. The reversal of 684264 is 462486.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684264.

It is not an unprimeable number, because it can be changed into a prime (684269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1869 + ... + 2204.

It is an arithmetic number, because the mean of its divisors is an integer number (61110).

2⁶⁸⁴²⁶⁴ is an apocalyptic number.

It is an amenable number.

684264 is an abundant number, since it is smaller than the sum of its proper divisors (1271256).

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

684264 is a wasteful number, since it uses less digits than its factorization.

684264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4085 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 684264 is about 827.2025145029. The cubic root of 684264 is about 88.1200153108.

The spelling of 684264 in words is "six hundred eighty-four thousand, two hundred sixty-four".