6558640 has 80 divisors (see below), whose sum is σ = 17275680. Its totient is φ = 2293760.

The previous prime is 6558623. The next prime is 6558641. The reversal of 6558640 is 468556.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6558596 and 6558605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6558641) 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, 25392 + ... + 25648.

It is an arithmetic number, because the mean of its divisors is an integer number (215946).

Almost surely, 2^6558640 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 6558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637840).

6558640 is an abundant number, since it is smaller than the sum of its proper divisors (10717040).

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

6558640 is a wasteful number, since it uses less digits than its factorization.

6558640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 6558640 is about 2560.9841858161. The cubic root of 6558640 is about 187.1850951193.

The spelling of 6558640 in words is "six million, five hundred fifty-eight thousand, six hundred forty".