6756948 has 72 divisors (see below), whose sum is σ = 18922176. Its totient is φ = 2016000.

The previous prime is 6756941. The next prime is 6756961. The reversal of 6756948 is 8496576.

Its product of digits (362880) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44673 + ... + 44823.

It is an arithmetic number, because the mean of its divisors is an integer number (262808).

Almost surely, 2^6756948 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 6756948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461088).

6756948 is an abundant number, since it is smaller than the sum of its proper divisors (12165228).

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

6756948 is a wasteful number, since it uses less digits than its factorization.

6756948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6756948 is about 2599.4130106622. The cubic root of 6756948 is about 189.0529791850.

The spelling of 6756948 in words is "six million, seven hundred fifty-six thousand, nine hundred forty-eight".