6573840 has 240 divisors, whose sum is σ = 26123328. Its totient is φ = 1354752.

The previous prime is 6573821. The next prime is 6573841. The reversal of 6573840 is 483756.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6573841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152859 + ... + 152901.

Almost surely, 2^6573840 is an apocalyptic number.

6573840 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 6573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

6573840 is an abundant number, since it is smaller than the sum of its proper divisors (19549488).

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

6573840 is a wasteful number, since it uses less digits than its factorization.

6573840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6573840 is about 2563.9500775171. The cubic root of 6573840 is about 187.3295873867.

The spelling of 6573840 in words is "six million, five hundred seventy-three thousand, eight hundred forty".