684064 has 12 divisors (see below), whose sum is σ = 1346814. Its totient is φ = 342016.

The previous prime is 684053. The next prime is 684091. The reversal of 684064 is 460486.

It can be written as a sum of positive squares in only one way, i.e., 672400 + 11664 = 820^2 + 108^2 .

It is an unprimeable number.

684064 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 as a sum of consecutive naturals, namely, 10657 + ... + 10720.

2⁶⁸⁴⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

684064 is a deficient number, since it is larger than the sum of its proper divisors (662750).

684064 is a wasteful number, since it uses less digits than its factorization.

684064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21387 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 684064 is about 827.0816162871. The cubic root of 684064 is about 88.1114290924. Note that the first 3 decimals are identical.

The spelling of 684064 in words is "six hundred eighty-four thousand, sixty-four".