6978312 has 120 divisors (see below), whose sum is σ = 21725550. Its totient is φ = 2090880.

The previous prime is 6978287. The next prime is 6978319. The reversal of 6978312 is 2138796.

It can be written as a sum of positive squares in only one way, i.e., 6625476 + 352836 = 2574^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6978319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78364 + ... + 78452.

Almost surely, 2^6978312 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 6978312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10862775).

6978312 is an abundant number, since it is smaller than the sum of its proper divisors (14747238).

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

6978312 is a wasteful number, since it uses less digits than its factorization.

6978312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6978312 is about 2641.6494846970. The cubic root of 6978312 is about 191.0953536474.

It can be divided in two parts, 697 and 8312, that added together give a palindrome (9009).

The spelling of 6978312 in words is "six million, nine hundred seventy-eight thousand, three hundred twelve".