6697728 has 180 divisors, whose sum is σ = 22259160. Its totient is φ = 1990656.

The previous prime is 6697727. The next prime is 6697741. The reversal of 6697728 is 8277966.

It is a happy number.

Its product of digits (254016) is a multiple of the sum of its prime factors (64).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6697721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352503 + ... + 352521.

It is an arithmetic number, because the mean of its divisors is an integer number (123662).

Almost surely, 2^6697728 is an apocalyptic number.

6697728 is a gapful number since it is divisible by the number (68) 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 6697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129580).

6697728 is an abundant number, since it is smaller than the sum of its proper divisors (15561432).

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

6697728 is a wasteful number, since it uses less digits than its factorization.

6697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6697728 is about 2587.9969088080. The cubic root of 6697728 is about 188.4990513265.

The spelling of 6697728 in words is "six million, six hundred ninety-seven thousand, seven hundred twenty-eight".