6567880 has 96 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 2245760.

The previous prime is 6567871. The next prime is 6567881. The reversal of 6567880 is 887656.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6567881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111291 + ... + 111349.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^6567880 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 6567880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

6567880 is an abundant number, since it is smaller than the sum of its proper divisors (10668920).

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

6567880 is a wasteful number, since it uses less digits than its factorization.

6567880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 6567880 is about 2562.7875448425. The cubic root of 6567880 is about 187.2729577800.

It can be divided in two parts, 6567 and 880, that added together give a palindrome (7447).

The spelling of 6567880 in words is "six million, five hundred sixty-seven thousand, eight hundred eighty".