6741920 has 48 divisors (see below), whose sum is σ = 16488360. Its totient is φ = 2601984.

The previous prime is 6741913. The next prime is 6741929. The reversal of 6741920 is 291476.

It can be written as a sum of positive squares in 4 ways, for example, as 6615184 + 126736 = 2572^2 + 356^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6741929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3914 + ... + 5366.

Almost surely, 2^6741920 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 6741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244180).

6741920 is an abundant number, since it is smaller than the sum of its proper divisors (9746440).

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

6741920 is a wasteful number, since it uses less digits than its factorization.

6741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 6741920 is about 2596.5207490024. The cubic root of 6741920 is about 188.9127187672.

The spelling of 6741920 in words is "six million, seven hundred forty-one thousand, nine hundred twenty".