6141000 has 128 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 1548800.

The previous prime is 6140999. The next prime is 6141013. The reversal of 6141000 is 1416.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68956 + ... + 69044.

It is an arithmetic number, because the mean of its divisors is an integer number (157950).

Almost surely, 2^6141000 is an apocalyptic number.

6141000 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 6141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108800).

6141000 is an abundant number, since it is smaller than the sum of its proper divisors (14076600).

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

6141000 is a wasteful number, since it uses less digits than its factorization.

6141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 6141000 is about 2478.1041140356. The cubic root of 6141000 is about 183.1244636886.

Adding to 6141000 its reverse (1416), we get a palindrome (6142416).

The spelling of 6141000 in words is "six million, one hundred forty-one thousand".