6628776 has 128 divisors (see below), whose sum is σ = 21980160. Its totient is φ = 1612800.

The previous prime is 6628753. The next prime is 6628781. The reversal of 6628776 is 6778266.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31311 + ... + 31521.

It is an arithmetic number, because the mean of its divisors is an integer number (171720).

Almost surely, 2^6628776 is an apocalyptic number.

6628776 is a gapful number since it is divisible by the number (66) 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 6628776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990080).

6628776 is an abundant number, since it is smaller than the sum of its proper divisors (15351384).

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

6628776 is a wasteful number, since it uses less digits than its factorization.

6628776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 6628776 is about 2574.6409458408. The cubic root of 6628776 is about 187.8499632862.

The spelling of 6628776 in words is "six million, six hundred twenty-eight thousand, seven hundred seventy-six".