6786144 has 36 divisors (see below), whose sum is σ = 19298916. Its totient is φ = 2261952.

The previous prime is 6786139. The next prime is 6786149. The reversal of 6786144 is 4416876.

It is an interprime number because it is at equal distance from previous prime (6786139) and next prime (6786149).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6786099 and 6786108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11494 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (536081).

Almost surely, 2^6786144 is an apocalyptic number.

It is an amenable number.

6786144 is an abundant number, since it is smaller than the sum of its proper divisors (12512772).

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

6786144 is a wasteful number, since it uses less digits than its factorization.

6786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23579 (or 23568 counting only the distinct ones).

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

The square root of 6786144 is about 2605.0228405908. The cubic root of 6786144 is about 189.3248800475.

The spelling of 6786144 in words is "six million, seven hundred eighty-six thousand, one hundred forty-four".