684672 has 32 divisors (see below), whose sum is σ = 1819680. Its totient is φ = 228096.

The previous prime is 684647. The next prime is 684683. The reversal of 684672 is 276486.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

684672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 508 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (56865).

2⁶⁸⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

684672 is an abundant number, since it is smaller than the sum of its proper divisors (1135008).

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

684672 is a wasteful number, since it uses less digits than its factorization.

684672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1788 counting only the distinct ones).

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

The square root of 684672 is about 827.4490920897. The cubic root of 684672 is about 88.1375260098.

The spelling of 684672 in words is "six hundred eighty-four thousand, six hundred seventy-two".