6977664 has 80 divisors (see below), whose sum is σ = 20796270. Its totient is φ = 2322432.

The previous prime is 6977639. The next prime is 6977681. The reversal of 6977664 is 4667796.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 627264 = 2520^2 + 792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10032 + ... + 10704.

Almost surely, 2^6977664 is an apocalyptic number.

6977664 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 6977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398135).

6977664 is an abundant number, since it is smaller than the sum of its proper divisors (13818606).

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

6977664 is an equidigital number, since it uses as much as digits as its factorization.

6977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 6977664 is about 2641.5268312096. The cubic root of 6977664 is about 191.0894384814.

The spelling of 6977664 in words is "six million, nine hundred seventy-seven thousand, six hundred sixty-four".