684608 has 28 divisors (see below), whose sum is σ = 1432560. Its totient is φ = 323712.

The previous prime is 684599. The next prime is 684617. The reversal of 684608 is 806486.

It is an interprime number because it is at equal distance from previous prime (684599) and next prime (684617).

It is a super-2 number, since 2×684608² = 937376227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684608.

It is an unprimeable 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, 935 + ... + 1497.

2⁶⁸⁴⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716280).

684608 is an abundant number, since it is smaller than the sum of its proper divisors (747952).

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

684608 is a wasteful number, since it uses less digits than its factorization.

684608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 684608 is about 827.4104181118. The cubic root of 684608 is about 88.1347796936.

The spelling of 684608 in words is "six hundred eighty-four thousand, six hundred eight".