6722688 has 128 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 1843200.

The previous prime is 6722687. The next prime is 6722689. The reversal of 6722688 is 8862276.

It is an interprime number because it is at equal distance from previous prime (6722687) and next prime (6722689).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64512) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (6722687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110178 + ... + 110238.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^6722688 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 6722688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320).

6722688 is an abundant number, since it is smaller than the sum of its proper divisors (14525952).

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

6722688 is a wasteful number, since it uses less digits than its factorization.

6722688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 6722688 is about 2592.8146867835. The cubic root of 6722688 is about 188.7329168932.

It can be divided in two parts, 672268 and 8, that added together give a palindrome (672276).

The spelling of 6722688 in words is "six million, seven hundred twenty-two thousand, six hundred eighty-eight".