6570840 has 64 divisors (see below), whose sum is σ = 20878560. Its totient is φ = 1648640.

The previous prime is 6570797. The next prime is 6570841. The reversal of 6570840 is 480756.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6570798 and 6570807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6570841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430 + ... + 3650.

Almost surely, 2^6570840 is an apocalyptic number.

6570840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6570840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439280).

6570840 is an abundant number, since it is smaller than the sum of its proper divisors (14307720).

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

6570840 is a wasteful number, since it uses less digits than its factorization.

6570840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6570840 is about 2563.3649759642. The cubic root of 6570840 is about 187.3010868313.

It can be divided in two parts, 6 and 570840, that added together give a triangular number (570846 = T₁₀₆₈).

The spelling of 6570840 in words is "six million, five hundred seventy thousand, eight hundred forty".