6801000 has 64 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1812800.

The previous prime is 6800999. The next prime is 6801001. The reversal of 6801000 is 1086.

It is an interprime number because it is at equal distance from previous prime (6800999) and next prime (6801001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (6801001) 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, 1867 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^6801000 is an apocalyptic number.

6801000 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 6801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

6801000 is an abundant number, since it is smaller than the sum of its proper divisors (14427480).

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

6801000 is a wasteful number, since it uses less digits than its factorization.

6801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 6801000 is about 2607.8726962795. The cubic root of 6801000 is about 189.4629339255.

Adding to 6801000 its reverse (1086), we get a palindrome (6802086).

The spelling of 6801000 in words is "six million, eight hundred one thousand".