684968 has 8 divisors (see below), whose sum is σ = 1284330. Its totient is φ = 342480.

The previous prime is 684961. The next prime is 684973. The reversal of 684968 is 869486.

684968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 432964 + 252004 = 658^2 + 502^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×684968² = 938362322048, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684968.

It is not an unprimeable number, because it can be changed into a prime (684961) by changing a digit.

684968 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, 42803 + ... + 42818.

2⁶⁸⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

684968 is a deficient number, since it is larger than the sum of its proper divisors (599362).

684968 is a wasteful number, since it uses less digits than its factorization.

684968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85627 (or 85623 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 684968 is about 827.6279357296. The cubic root of 684968 is about 88.1502254966.

The spelling of 684968 in words is "six hundred eighty-four thousand, nine hundred sixty-eight".