684416 has 16 divisors (see below), whose sum is σ = 1363740. Its totient is φ = 342144.

The previous prime is 684407. The next prime is 684419. The reversal of 684416 is 614486.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×684416² = 936850522112, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684416.

It is not an unprimeable number, because it can be changed into a prime (684419) by changing a digit.

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 as a sum of consecutive naturals, namely, 2546 + ... + 2801.

2⁶⁸⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

684416 is a deficient number, since it is larger than the sum of its proper divisors (679324).

684416 is an equidigital number, since it uses as much as digits as its factorization.

684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5349 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 684416 is about 827.2943853309. The cubic root of 684416 is about 88.1265397179.

The spelling of 684416 in words is "six hundred eighty-four thousand, four hundred sixteen".