6810144 has 48 divisors (see below), whose sum is σ = 19504800. Its totient is φ = 2063360.

The previous prime is 6810143. The next prime is 6810161. The reversal of 6810144 is 4410186.

6810144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6810144² = 92756122601472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6810143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2169 + ... + 4280.

It is an arithmetic number, because the mean of its divisors is an integer number (406350).

Almost surely, 2^6810144 is an apocalyptic number.

It is an amenable number.

6810144 is an abundant number, since it is smaller than the sum of its proper divisors (12694656).

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

6810144 is a wasteful number, since it uses less digits than its factorization.

6810144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6810144 is about 2609.6252604541. The cubic root of 6810144 is about 189.5478073861.

The spelling of 6810144 in words is "six million, eight hundred ten thousand, one hundred forty-four".