6626880 has 224 divisors, whose sum is σ = 25603200. Its totient is φ = 1603584.

The previous prime is 6626863. The next prime is 6626881. The reversal of 6626880 is 886266.

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

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (6626881) 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, 112291 + ... + 112349.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

Almost surely, 2^6626880 is an apocalyptic number.

6626880 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 6626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

6626880 is an abundant number, since it is smaller than the sum of its proper divisors (18976320).

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

6626880 is a wasteful number, since it uses less digits than its factorization.

6626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6626880 is about 2574.2727128259. The cubic root of 6626880 is about 187.8320516088.

The spelling of 6626880 in words is "six million, six hundred twenty-six thousand, eight hundred eighty".