6768144 has 40 divisors (see below), whose sum is σ = 19428320. Its totient is φ = 2255904.

The previous prime is 6768131. The next prime is 6768149. The reversal of 6768144 is 4418676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6768099 and 6768108.

It is not an unprimeable number, because it can be changed into a prime (6768149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7402 + ... + 8265.

It is an arithmetic number, because the mean of its divisors is an integer number (485708).

Almost surely, 2^6768144 is an apocalyptic number.

It is an amenable number.

6768144 is an abundant number, since it is smaller than the sum of its proper divisors (12660176).

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

6768144 is a wasteful number, since it uses less digits than its factorization.

6768144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15672 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6768144 is about 2601.5656824305. The cubic root of 6768144 is about 189.1573393768.

The spelling of 6768144 in words is "six million, seven hundred sixty-eight thousand, one hundred forty-four".