6977344 has 84 divisors (see below), whose sum is σ = 16418052. Its totient is φ = 2928640.

The previous prime is 6977329. The next prime is 6977381. The reversal of 6977344 is 4437796.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 1742400 = 2288^2 + 1320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6977297 and 6977306.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 131622 + ... + 131674.

It is an arithmetic number, because the mean of its divisors is an integer number (195453).

Almost surely, 2^6977344 is an apocalyptic number.

6977344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209026).

6977344 is an abundant number, since it is smaller than the sum of its proper divisors (9440708).

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

6977344 is a wasteful number, since it uses less digits than its factorization.

6977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 6977344 is about 2641.4662594854. The cubic root of 6977344 is about 191.0865172767.

The spelling of 6977344 in words is "six million, nine hundred seventy-seven thousand, three hundred forty-four".