684012 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 183552.

The previous prime is 684007. The next prime is 684017. The reversal of 684012 is 210486.

It is an interprime number because it is at equal distance from previous prime (684007) and next prime (684017).

It is a super-2 number, since 2×684012² = 935744832288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 684012.

It is not an unprimeable number, because it can be changed into a prime (684017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁶⁸⁴⁰¹² 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 684012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

684012 is an abundant number, since it is smaller than the sum of its proper divisors (1251348).

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

684012 is a wasteful number, since it uses less digits than its factorization.

684012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 684012 is about 827.0501798561. The cubic root of 684012 is about 88.1091964015.

Adding to 684012 its reverse (210486), we get a palindrome (894498).

The spelling of 684012 in words is "six hundred eighty-four thousand, twelve".