6756940 has 48 divisors (see below), whose sum is σ = 15244992. Its totient is φ = 2509056.

The previous prime is 6756901. The next prime is 6756941. The reversal of 6756940 is 496576.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 6756940.

It is not an unprimeable number, because it can be changed into a prime (6756941) 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 15 ways as a sum of consecutive naturals, for example, 16822 + ... + 17218.

It is an arithmetic number, because the mean of its divisors is an integer number (317604).

Almost surely, 2^6756940 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 6756940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622496).

6756940 is an abundant number, since it is smaller than the sum of its proper divisors (8488052).

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

6756940 is a wasteful number, since it uses less digits than its factorization.

6756940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 6756940 is about 2599.4114718528. The cubic root of 6756940 is about 189.0529045741.

The spelling of 6756940 in words is "six million, seven hundred fifty-six thousand, nine hundred forty".