6741000 has 192 divisors, whose sum is σ = 26282880. Its totient is φ = 1526400.

The previous prime is 6740999. The next prime is 6741019. The reversal of 6741000 is 1476.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62947 + ... + 63053.

It is an arithmetic number, because the mean of its divisors is an integer number (136890).

Almost surely, 2^6741000 is an apocalyptic number.

6741000 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 6741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141440).

6741000 is an abundant number, since it is smaller than the sum of its proper divisors (19541880).

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

6741000 is a wasteful number, since it uses less digits than its factorization.

6741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 6741000 is about 2596.3435828103. The cubic root of 6741000 is about 188.9041253889.

Adding to 6741000 its reverse (1476), we get a palindrome (6742476).

The spelling of 6741000 in words is "six million, seven hundred forty-one thousand".