6146000 has 80 divisors (see below), whose sum is σ = 17022720. Its totient is φ = 2102400.

The previous prime is 6145981. The next prime is 6146003. The reversal of 6146000 is 6416.

6146000 = 41² + 42² + ... + 264².

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6146000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13781 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 2^6146000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511360).

6146000 is an abundant number, since it is smaller than the sum of its proper divisors (10876720).

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

6146000 is a wasteful number, since it uses less digits than its factorization.

6146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6146000 is about 2479.1127445116. The cubic root of 6146000 is about 183.1741501637.

The spelling of 6146000 in words is "six million, one hundred forty-six thousand".