6753040 has 80 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 2234880.

The previous prime is 6753031. The next prime is 6753059. The reversal of 6753040 is 403576.

6753040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6752996 and 6753014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17166 + ... + 17554.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^6753040 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 6753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

6753040 is an abundant number, since it is smaller than the sum of its proper divisors (11817200).

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

6753040 is a wasteful number, since it uses less digits than its factorization.

6753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 6753040 is about 2598.6611937688. The cubic root of 6753040 is about 189.0165247816.

The spelling of 6753040 in words is "six million, seven hundred fifty-three thousand, forty".