6772656 has 80 divisors (see below), whose sum is σ = 19427328. Its totient is φ = 2016000.

The previous prime is 6772651. The next prime is 6772657. The reversal of 6772656 is 6562776.

6772656 = 165² + 166² + ... + 291².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53265 + ... + 53391.

Almost surely, 2^6772656 is an apocalyptic number.

6772656 is a gapful number since it is divisible by the number (66) 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 6772656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713664).

6772656 is an abundant number, since it is smaller than the sum of its proper divisors (12654672).

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

6772656 is a wasteful number, since it uses less digits than its factorization.

6772656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 6772656 is about 2602.4327080637. The cubic root of 6772656 is about 189.1993641095.

It can be divided in two parts, 677 and 2656, that added together give a palindrome (3333).

The spelling of 6772656 in words is "six million, seven hundred seventy-two thousand, six hundred fifty-six".