6801600 has 168 divisors, whose sum is σ = 24251920. Its totient is φ = 1658880.

The previous prime is 6801577. The next prime is 6801607. The reversal of 6801600 is 61086.

It is not an unprimeable number, because it can be changed into a prime (6801607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62346 + ... + 62454.

Almost surely, 2^6801600 is an apocalyptic number.

6801600 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 6801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125960).

6801600 is an abundant number, since it is smaller than the sum of its proper divisors (17450320).

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

6801600 is a wasteful number, since it uses less digits than its factorization.

6801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6801600 is about 2607.9877300325. The cubic root of 6801600 is about 189.4685053815.

Adding to 6801600 its reverse (61086), we get a palindrome (6862686).

The spelling of 6801600 in words is "six million, eight hundred one thousand, six hundred".