312678 has 24 divisors (see below), whose sum is σ = 702000. Its totient is φ = 100464.

The previous prime is 312677. The next prime is 312679. The reversal of 312678 is 876213.

It is an interprime number because it is at equal distance from previous prime (312677) and next prime (312679).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2³¹²⁶⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000).

312678 is an abundant number, since it is smaller than the sum of its proper divisors (389322).

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

312678 is a wasteful number, since it uses less digits than its factorization.

312678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

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

The square root of 312678 is about 559.1761797502. The cubic root of 312678 is about 67.8733224049.

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

The spelling of 312678 in words is "three hundred twelve thousand, six hundred seventy-eight".