6146800 has 90 divisors (see below), whose sum is σ = 16360064. Its totient is φ = 2217600.

The previous prime is 6146783. The next prime is 6146849. The reversal of 6146800 is 86416.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 48337 + ... + 48463.

Almost surely, 2^6146800 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 6146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180032).

6146800 is an abundant number, since it is smaller than the sum of its proper divisors (10213264).

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

6146800 is a wasteful number, since it uses less digits than its factorization.

6146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6146800 is about 2479.2740873086. The cubic root of 6146800 is about 183.1820974986.

The spelling of 6146800 in words is "six million, one hundred forty-six thousand, eight hundred".