6572880 has 160 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 1640448.

The previous prime is 6572857. The next prime is 6572887. The reversal of 6572880 is 882756.

6572880 is a `hidden beast` number, since 6 + 572 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6572887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36631 + ... + 36809.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 2^6572880 is an apocalyptic number.

6572880 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 6572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

6572880 is an abundant number, since it is smaller than the sum of its proper divisors (17532720).

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

6572880 is a wasteful number, since it uses less digits than its factorization.

6572880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6572880 is about 2563.7628595484. The cubic root of 6572880 is about 187.3204681525.

The spelling of 6572880 in words is "six million, five hundred seventy-two thousand, eight hundred eighty".