684576 has 36 divisors (see below), whose sum is σ = 1947582. Its totient is φ = 228096.

The previous prime is 684569. The next prime is 684581. The reversal of 684576 is 675486.

It is a happy number.

684576 is a `hidden beast` number, since 6 + 84 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 76176 = 780^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 684576.

It is an unprimeable number.

684576 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 5 ways as a sum of consecutive naturals, for example, 901 + ... + 1476.

2⁶⁸⁴⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

684576 is an abundant number, since it is smaller than the sum of its proper divisors (1263006).

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

684576 is a wasteful number, since it uses less digits than its factorization.

684576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2382 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 684576 is about 827.3910804450. The cubic root of 684576 is about 88.1334064713.

The spelling of 684576 in words is "six hundred eighty-four thousand, five hundred seventy-six".