6697800 has 108 divisors (see below), whose sum is σ = 22868235. Its totient is φ = 1756800.

The previous prime is 6697799. The next prime is 6697837. The reversal of 6697800 is 87966.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10404 + 6687396 = 102^2 + 2586^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1830.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109770 + ... + 109830.

Almost surely, 2^6697800 is an apocalyptic number.

6697800 is a gapful number since it is divisible by the number (60) 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 6697800

6697800 is an abundant number, since it is smaller than the sum of its proper divisors (16170435).

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

6697800 is a wasteful number, since it uses less digits than its factorization.

6697800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6697800 is about 2588.0108191428. The cubic root of 6697800 is about 188.4997267736.

The spelling of 6697800 in words is "six million, six hundred ninety-seven thousand, eight hundred".