678312 has 24 divisors (see below), whose sum is σ = 1837290. Its totient is φ = 226080.

The previous prime is 678299. The next prime is 678329. The reversal of 678312 is 213876.

It can be written as a sum of positive squares in only one way, i.e., 617796 + 60516 = 786^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

678312 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 in 5 ways as a sum of consecutive naturals, for example, 4639 + ... + 4782.

2⁶⁷⁸³¹² is an apocalyptic number.

It is an amenable number.

678312 is an abundant number, since it is smaller than the sum of its proper divisors (1158978).

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

678312 is a wasteful number, since it uses less digits than its factorization.

678312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9426 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 678312 is about 823.5969888240. The cubic root of 678312 is about 87.8637699315.

It can be divided in two parts, 678 and 312, that added together give a triangular number (990 = T₄₄).

The spelling of 678312 in words is "six hundred seventy-eight thousand, three hundred twelve".